142:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intervalos e inecuaciones:@0.286308:0.079033:0.724028:0.079033:0.724028:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Las inecuaciones son utilizadas en matemáticas y en diversas disciplinas, como eco-:@0.287495:0.153866:0.901136:0.153866:0.901136:0.137477:0.287495:0.137477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nomía, estadística, optimización de procesos, física, programación y otras, para re-:@0.287495:0.170462:0.901069:0.170462:0.901069:0.154073:0.287495:0.154073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presentar restricciones, límites y condiciones en una variedad de contextos :@0.287495:0.187059:0.905131:0.187059:0.905131:0.170670:0.287495:0.170670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y problemas.:@0.287495:0.203655:0.381198:0.203655:0.381198:0.187266:0.287495:0.187266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al igual que las ecuaciones, las inecuaciones contienen una o más incógnitas (varia-:@0.287495:0.223820:0.901062:0.223820:0.901062:0.207431:0.287495:0.207431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bles), pero en lugar de igualar dos expresiones, expresan una relación de desigual-:@0.287495:0.240416:0.901095:0.240416:0.901095:0.224027:0.287495:0.224027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad entre ellas. En este apartado estudiaremos las inecuaciones con una sola :@0.287495:0.257012:0.905098:0.257012:0.905098:0.240624:0.287495:0.240624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variable.:@0.287495:0.273609:0.348010:0.273609:0.348010:0.257220:0.287495:0.257220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos que las desigualdades se expresan con los signos mayor que >, menor :@0.287495:0.293773:0.905149:0.293773:0.905149:0.277384:0.287495:0.277384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que <, menor o igual que ≤ o mayor o igual que ≥.:@0.287495:0.310370:0.658403:0.310370:0.658403:0.293981:0.287495:0.293981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una inecuación lineal es una desigualdad es una expresión matemática de las :@0.296992:0.341321:0.895623:0.341321:0.895623:0.324932:0.296992:0.324932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formas :@0.296992:0.357668:0.351280:0.357668:0.351280:0.341279:0.296992:0.341279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xa xa xa xa:@0.355909:0.357625:0.524024:0.357625:0.524024:0.341264:0.355909:0.341264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.368108:0.357211:0.378225:0.357211:0.378225:0.340268:0.368108:0.340268:0.000000
<:@0.412555:0.357211:0.422672:0.357211:0.422672:0.340268:0.412555:0.340268:0.000000
≥:@0.457003:0.357211:0.467120:0.357211:0.467120:0.340268:0.457003:0.340268:0.000000
≤:@0.501450:0.357211:0.511567:0.357211:0.511567:0.340268:0.501450:0.340268:0.000000
;:@0.390940:0.357625:0.394146:0.357625:0.394146:0.341237:0.390940:0.341237:0.000000
;:@0.435387:0.357625:0.438594:0.357625:0.438594:0.341237:0.435387:0.341237:0.000000
;:@0.479835:0.357625:0.483041:0.357625:0.483041:0.341237:0.479835:0.341237:0.000000
 cuya solución es un conjunto de números reales :@0.527882:0.357666:0.895585:0.357666:0.895585:0.341277:0.527882:0.341277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que satisfacen a la desigualdad y que se representa como un intervalo.:@0.296984:0.374013:0.813780:0.374013:0.813780:0.357624:0.296984:0.357624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un intervalo es un conjunto de números reales comprendidos entre dos valores, :@0.287494:0.406016:0.905057:0.406016:0.905057:0.389628:0.287494:0.389628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llamados extremos. Gráficamente se representan como segmentos de recta :@0.287494:0.422613:0.905057:0.422613:0.905057:0.406224:0.287494:0.406224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o semirrectas.:@0.287494:0.439209:0.388181:0.439209:0.388181:0.422820:0.287494:0.422820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intervalo:@0.380588:0.478138:0.446040:0.478138:0.446040:0.462774:0.380588:0.462774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Inecuación:@0.543506:0.478138:0.622661:0.478138:0.622661:0.462774:0.543506:0.462774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representación gráfica:@0.681143:0.478138:0.846974:0.478138:0.846974:0.462774:0.681143:0.462774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ):@0.397173:0.506025:0.429489:0.506025:0.429489:0.491126:0.397173:0.491126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.401613:0.506025:0.425049:0.506025:0.425049:0.491151:0.401613:0.491151:0.000000:0.000000:0.000000
a   x   b:@0.551295:0.507471:0.614904:0.507471:0.614904:0.492597:0.551295:0.492597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< <:@0.562737:0.507999:0.603462:0.507999:0.603462:0.491993:0.562737:0.491993:0.000000:0.000000:0.000000
[ ,  ]:@0.397173:0.538098:0.429489:0.538098:0.429489:0.523199:0.397173:0.523199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.401613:0.538098:0.425049:0.538098:0.425049:0.523225:0.401613:0.523225:0.000000:0.000000:0.000000
a   x   b:@0.551295:0.539544:0.614904:0.539544:0.614904:0.524670:0.551295:0.524670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤ ≤:@0.562737:0.540072:0.603462:0.540072:0.603462:0.524067:0.562737:0.524067:0.000000:0.000000:0.000000
[ ,  ):@0.397173:0.570172:0.429489:0.570172:0.429489:0.555273:0.397173:0.555273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.401613:0.570172:0.425049:0.570172:0.425049:0.555298:0.401613:0.555298:0.000000:0.000000:0.000000
a   x   b:@0.551295:0.571631:0.614904:0.571631:0.614904:0.556757:0.551295:0.556757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤ <:@0.562737:0.572159:0.603462:0.572159:0.603462:0.556153:0.562737:0.556153:0.000000:0.000000:0.000000
( ,  ]:@0.397173:0.602258:0.429489:0.602258:0.429489:0.587359:0.397173:0.587359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.401613:0.602258:0.425049:0.602258:0.425049:0.587385:0.401613:0.587385:0.000000:0.000000:0.000000
a   x   b:@0.551295:0.603717:0.614904:0.603717:0.614904:0.588843:0.551295:0.588843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< ≤:@0.562737:0.604245:0.603462:0.604245:0.603462:0.588240:0.562737:0.588240:0.000000:0.000000:0.000000
( ,  ):@0.395800:0.635791:0.430862:0.635791:0.430862:0.620892:0.395800:0.620892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.400239:0.635791:0.408666:0.635791:0.408666:0.620917:0.400239:0.620917:0.000000
∞:@0.415249:0.636319:0.426423:0.636319:0.426423:0.620313:0.415249:0.620313:0.000000
x   a:@0.565501:0.635791:0.600698:0.635791:0.600698:0.620917:0.565501:0.620917:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.575302:0.636319:0.589256:0.636319:0.589256:0.620313:0.575302:0.620313:0.000000
[ ,  ):@0.395800:0.667864:0.430862:0.667864:0.430862:0.652965:0.395800:0.652965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.400239:0.667864:0.408666:0.667864:0.408666:0.652991:0.400239:0.652991:0.000000
∞:@0.415249:0.668393:0.426423:0.668393:0.426423:0.652387:0.415249:0.652387:0.000000
x   a:@0.565501:0.667864:0.600698:0.667864:0.600698:0.652991:0.565501:0.652991:0.000000:0.000000:0.000000:0.000000:0.000000
≥:@0.575302:0.668393:0.589256:0.668393:0.589256:0.652387:0.575302:0.652387:0.000000
(– ,  ):@0.391612:0.699938:0.435051:0.699938:0.435051:0.685039:0.391612:0.685039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∞:@0.404427:0.700466:0.415601:0.700466:0.415601:0.684461:0.404427:0.684461:0.000000
b:@0.422185:0.699938:0.430611:0.699938:0.430611:0.685064:0.422185:0.685064:0.000000
x   b:@0.565501:0.699938:0.600698:0.699938:0.600698:0.685064:0.565501:0.685064:0.000000:0.000000:0.000000:0.000000:0.000000
<:@0.575302:0.700466:0.589256:0.700466:0.589256:0.684461:0.575302:0.684461:0.000000
(– ,  ]:@0.391612:0.732012:0.435051:0.732012:0.435051:0.717113:0.391612:0.717113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∞:@0.404427:0.732540:0.415601:0.732540:0.415601:0.716535:0.404427:0.716535:0.000000
b:@0.422185:0.732012:0.430611:0.732012:0.430611:0.717138:0.422185:0.717138:0.000000
x   b:@0.565501:0.732012:0.600698:0.732012:0.600698:0.717138:0.565501:0.717138:0.000000:0.000000:0.000000:0.000000:0.000000
≤:@0.575302:0.732540:0.589256:0.732540:0.589256:0.716535:0.575302:0.716535:0.000000
(– ,  ):@0.390238:0.764086:0.436424:0.764086:0.436424:0.749187:0.390238:0.749187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∞ ∞:@0.403053:0.764614:0.431985:0.764614:0.431985:0.748608:0.403053:0.748608:0.000000:0.000000:0.000000
–:@0.544360:0.764086:0.552736:0.764086:0.552736:0.749187:0.544360:0.749187:0.000000
∞ < < ∞:@0.552736:0.764614:0.621840:0.764614:0.621840:0.748608:0.552736:0.748608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x :@0.580880:0.764086:0.593696:0.764086:0.593696:0.749212:0.580880:0.749212:0.000000:0.000000:0.000000
Ejemplos::@0.287495:0.804896:0.357852:0.804896:0.357852:0.788259:0.287495:0.788259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina el intervalo solución para las inecuaciones.:@0.287495:0.828615:0.680642:0.828615:0.680642:0.812226:0.287495:0.812226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.287495:0.852334:0.310032:0.852334:0.310032:0.835434:0.287495:0.835434:0.000000:0.000000:0.000000:0.000000
x:@0.315165:0.852494:0.322629:0.852494:0.322629:0.836133:0.315165:0.836133:0.000000
>:@0.327364:0.852079:0.337481:0.852079:0.337481:0.835137:0.327364:0.835137:0.000000
9:@0.340393:0.852494:0.349385:0.852494:0.349385:0.836105:0.340393:0.836105:0.000000
b):@0.477442:0.852346:0.493659:0.852346:0.493659:0.835445:0.477442:0.835445:0.000000:0.000000
  :@0.493659:0.852346:0.501730:0.852346:0.501730:0.835957:0.493659:0.835957:0.000000:0.000000
x:@0.505112:0.852494:0.512576:0.852494:0.512576:0.836133:0.505112:0.836133:0.000000
≤−:@0.516998:0.852079:0.540733:0.852079:0.540733:0.835137:0.516998:0.835137:0.000000:0.000000
6:@0.540659:0.852494:0.549652:0.852494:0.549652:0.836105:0.540659:0.836105:0.000000
c):@0.667391:0.852346:0.681212:0.852346:0.681212:0.835445:0.667391:0.835445:0.000000:0.000000
   2:@0.681212:0.852346:0.713259:0.852494:0.713259:0.836105:0.681212:0.835957:0.000000:0.000000:0.000000:0.000000
−< ≤:@0.694224:0.852079:0.752289:0.852079:0.752289:0.835137:0.694224:0.835137:0.000000:0.000000:0.000000:0.000000
5:@0.755201:0.852494:0.764193:0.852494:0.764193:0.836105:0.755201:0.836105:0.000000
x:@0.730286:0.852494:0.737750:0.852494:0.737750:0.836133:0.730286:0.836133:0.000000
Solución::@0.287495:0.883197:0.355162:0.883197:0.355162:0.866560:0.287495:0.866560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.287495:0.904316:0.306218:0.904316:0.306218:0.887416:0.287495:0.887416:0.000000:0.000000:0.000000
9; :@0.320813:0.904607:0.339775:0.904607:0.339775:0.888218:0.320813:0.888218:0.000000:0.000000:0.000000
∞:@0.339770:0.904201:0.352909:0.904201:0.352909:0.887258:0.339770:0.887258:0.000000
(:@0.313751:0.905950:0.319888:0.905950:0.319888:0.884298:0.313751:0.884298:0.000000
):@0.354274:0.905950:0.360410:0.905950:0.360410:0.884298:0.354274:0.884298:0.000000
b):@0.477442:0.904319:0.493659:0.904319:0.493659:0.887418:0.477442:0.887418:0.000000:0.000000
  :@0.493659:0.904319:0.501730:0.904319:0.501730:0.887930:0.493659:0.887930:0.000000:0.000000
−∞ −:@0.511343:0.904201:0.558315:0.904201:0.558315:0.887258:0.511343:0.887258:0.000000:0.000000:0.000000:0.000000
(:@0.503700:0.905950:0.509837:0.905950:0.509837:0.884298:0.503700:0.884298:0.000000
]:@0.570447:0.906215:0.576583:0.906215:0.576583:0.883749:0.570447:0.883749:0.000000
;  6    :@0.534953:0.904615:0.592024:0.904325:0.592024:0.887936:0.534953:0.888227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.667393:0.904325:0.681214:0.904325:0.681214:0.887424:0.667393:0.887424:0.000000:0.000000
  :@0.681214:0.904325:0.689285:0.904325:0.689285:0.887936:0.681214:0.887936:0.000000:0.000000
−:@0.701291:0.904201:0.711408:0.904201:0.711408:0.887258:0.701291:0.887258:0.000000
(:@0.693647:0.905950:0.699784:0.905950:0.699784:0.884298:0.693647:0.884298:0.000000
]:@0.739088:0.906215:0.745225:0.906215:0.745225:0.883749:0.739088:0.883749:0.000000
25:@0.711343:0.904615:0.739334:0.904615:0.739334:0.888227:0.711343:0.888227:0.000000:0.000000
; :@0.719980:0.904615:0.729729:0.904615:0.729729:0.888227:0.719980:0.888227:0.000000:0.000000
Matemáticas y sociedad:@0.076018:0.187954:0.245233:0.187954:0.245233:0.172590:0.076018:0.172590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las inecuaciones se :@0.114347:0.206600:0.248902:0.206600:0.248902:0.191701:0.114347:0.191701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplican en la vida :@0.130212:0.221687:0.248902:0.221687:0.248902:0.206788:0.130212:0.206788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cotidiana, por ejemplo :@0.094747:0.236775:0.248902:0.236775:0.248902:0.221876:0.094747:0.221876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al ir de compras, controlar :@0.072533:0.251863:0.248901:0.251863:0.248901:0.236964:0.072533:0.236964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la velocidad de un auto o, :@0.073756:0.266950:0.248901:0.266950:0.248901:0.252051:0.073756:0.252051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplemente, en la :@0.118468:0.282038:0.248901:0.282038:0.248901:0.267139:0.118468:0.267139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación de nuestro peso :@0.080457:0.297125:0.248901:0.297125:0.248901:0.282226:0.080457:0.282226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con nuestra altura.:@0.121869:0.312213:0.245233:0.312213:0.245233:0.297314:0.121869:0.297314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la diferencia :@0.113828:0.480083:0.248248:0.480083:0.248248:0.465209:0.113828:0.465209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre inecuaciones :@0.126460:0.495170:0.248250:0.495170:0.248250:0.480297:0.126460:0.480297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ecuaciones?:@0.158256:0.510258:0.245234:0.510258:0.245234:0.495384:0.158256:0.495384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090604:0.158795:0.247810:0.158795:0.247810:0.141894:0.090604:0.141894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.083854:0.444758:0.083854:0.439650:0.071772:0.439650:0.071772:0.444758:0.000000
Shutterstock:@0.083854:0.439650:0.083854:0.401932:0.071943:0.401932:0.071943:0.439650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.697210:0.509208:0.703067:0.509208:0.703067:0.499079:0.697210:0.499079:0.000000
b:@0.794445:0.509208:0.800335:0.509208:0.800335:0.499079:0.794445:0.499079:0.000000
+:@0.836453:0.506542:0.839702:0.506542:0.839702:0.501625:0.836453:0.501625:0.000000
−:@0.678917:0.507314:0.675668:0.507314:0.675668:0.502397:0.678917:0.502397:0.000000
a:@0.697210:0.541283:0.703067:0.541283:0.703067:0.531154:0.697210:0.531154:0.000000
b:@0.794445:0.541283:0.800335:0.541283:0.800335:0.531154:0.794445:0.531154:0.000000
+:@0.836453:0.538618:0.839702:0.538618:0.839702:0.533701:0.836453:0.533701:0.000000
−:@0.678917:0.539826:0.675668:0.539826:0.675668:0.534909:0.678917:0.534909:0.000000
a:@0.697210:0.573360:0.703067:0.573360:0.703067:0.563230:0.697210:0.563230:0.000000
b:@0.794445:0.573360:0.800335:0.573360:0.800335:0.563230:0.794445:0.563230:0.000000
+:@0.836453:0.570694:0.839702:0.570694:0.839702:0.565777:0.836453:0.565777:0.000000
−:@0.678917:0.571625:0.675668:0.571625:0.675668:0.566708:0.678917:0.566708:0.000000
a:@0.697210:0.605436:0.703067:0.605436:0.703067:0.595307:0.697210:0.595307:0.000000
b:@0.794445:0.605436:0.800335:0.605436:0.800335:0.595307:0.794445:0.595307:0.000000
+:@0.836453:0.602771:0.839702:0.602771:0.839702:0.597854:0.836453:0.597854:0.000000
−:@0.678917:0.603564:0.675668:0.603564:0.675668:0.598647:0.678917:0.598647:0.000000
a:@0.697266:0.637512:0.703122:0.637512:0.703122:0.627383:0.697266:0.627383:0.000000
+:@0.835736:0.635154:0.838985:0.635154:0.838985:0.630237:0.835736:0.630237:0.000000
−:@0.678917:0.635962:0.675668:0.635962:0.675668:0.631045:0.678917:0.631045:0.000000
a:@0.697210:0.669588:0.703067:0.669588:0.703067:0.659459:0.697210:0.659459:0.000000
+:@0.835518:0.666923:0.838767:0.666923:0.838767:0.662006:0.835518:0.662006:0.000000
−:@0.678917:0.667884:0.675668:0.667884:0.675668:0.662967:0.678917:0.662967:0.000000
b:@0.822810:0.702351:0.828700:0.702351:0.828700:0.692222:0.822810:0.692222:0.000000
−:@0.679237:0.698313:0.675988:0.698313:0.675988:0.693396:0.679237:0.693396:0.000000
+:@0.834731:0.700394:0.837979:0.700394:0.837979:0.695477:0.834731:0.695477:0.000000
b:@0.822810:0.734426:0.828700:0.734426:0.828700:0.724297:0.822810:0.724297:0.000000
−:@0.678972:0.730388:0.675724:0.730388:0.675724:0.725471:0.678972:0.725471:0.000000
+:@0.834997:0.732675:0.838246:0.732675:0.838246:0.727758:0.834997:0.727758:0.000000
+:@0.832029:0.763890:0.835277:0.763890:0.835277:0.758973:0.832029:0.758973:0.000000
−:@0.678287:0.763761:0.675039:0.763761:0.675039:0.758844:0.678287:0.758844:0.000000
Nuestros ancestros :@0.118987:0.626453:0.248901:0.626453:0.248901:0.611554:0.118987:0.611554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indígenas utilizaban varias :@0.070322:0.641540:0.248899:0.641540:0.248899:0.626641:0.070322:0.626641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
herramientas para realizar :@0.073588:0.656628:0.248901:0.656628:0.248901:0.641729:0.073588:0.641729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculos matemáticos. :@0.097963:0.671716:0.248901:0.671716:0.248901:0.656817:0.097963:0.656817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una de ellas es la taptana, :@0.073655:0.686803:0.248902:0.686803:0.248902:0.671904:0.073655:0.671904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una tabla similar :@0.136159:0.701891:0.248902:0.701891:0.248902:0.686992:0.136159:0.686992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a un ábaco.:@0.168960:0.716978:0.245233:0.716978:0.245233:0.702079:0.168960:0.702079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo valoras la :@0.136762:0.735624:0.248249:0.735624:0.248249:0.720750:0.136762:0.720750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diversidad étnica y cultural :@0.076353:0.750712:0.248246:0.750712:0.248246:0.735838:0.076353:0.735838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del Ecuador?:@0.164587:0.765799:0.245233:0.765799:0.245233:0.750926:0.164587:0.750926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Cívica:@0.155867:0.593729:0.207965:0.593729:0.207965:0.576828:0.155867:0.576828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.106321:0.866101:0.121264:0.866101:0.121264:0.851202:0.106321:0.851202:0.000000:0.000000:0.000000
−< ⇒> −:@0.124352:0.866389:0.231675:0.866389:0.231675:0.849446:0.124352:0.849446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−> ⇒< −:@0.124352:0.887134:0.231675:0.887134:0.231675:0.870192:0.124352:0.870192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xa:@0.135869:0.866803:0.170329:0.866803:0.170329:0.850442:0.135869:0.850442:0.000000:0.000000
x:@0.195759:0.866803:0.203222:0.866803:0.203222:0.850442:0.195759:0.850442:0.000000
a:@0.231933:0.866803:0.241202:0.866803:0.241202:0.850442:0.231933:0.850442:0.000000
xa:@0.135869:0.887549:0.170642:0.887549:0.170642:0.871188:0.135869:0.871188:0.000000:0.000000
x:@0.196073:0.887549:0.203536:0.887549:0.203536:0.871188:0.196073:0.871188:0.000000
a:@0.231933:0.887549:0.241202:0.887549:0.241202:0.871188:0.231933:0.871188:0.000000
     Matemática:@0.116274:0.833660:0.223815:0.833660:0.223815:0.816759:0.116274:0.816759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.11. :@0.273249:0.950960:0.321587:0.950960:0.321587:0.940205:0.273249:0.940205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver inecuaciones de primer grado con una incógnita en  , de manera analítica, en la solución de ejercicios numéricos y problemas. :@0.321375:0.950960:0.953691:0.950960:0.953691:0.940530:0.321375:0.940530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℤ:@0.605841:0.951329:0.613663:0.951329:0.613663:0.940125:0.605841:0.940125:0.000000
M.4.1.39. :@0.273237:0.961521:0.321575:0.961521:0.321575:0.950766:0.273237:0.950766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representar un intervalo en   de manera algebraica y gráfica, y reconocer el intervalo como la solución de una inecuación de primer :@0.322009:0.961521:0.953606:0.961521:0.953606:0.951092:0.322009:0.951092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.455645:0.961891:0.464111:0.961891:0.464111:0.950687:0.455645:0.950687:0.000000
 :@0.598194:0.961521:0.600762:0.961521:0.600762:0.951092:0.598194:0.951092:0.000000
grado con una incógnita en  .:@0.273237:0.972082:0.416009:0.972082:0.416009:0.961653:0.273237:0.961653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.405501:0.972452:0.413968:0.972452:0.413968:0.961248:0.405501:0.961248:0.000000