93:@0.911172:0.510692:0.930079:0.510692:0.930079:0.494068:0.911172:0.494068:0.000000:0.000000
2. :@0.120102:0.521687:0.138843:0.521687:0.138843:0.504551:0.120102:0.504551:0.000000:0.000000:0.000000
Escribe:@0.153346:0.521687:0.208094:0.521687:0.208094:0.505063:0.153346:0.505063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes conjuntos por comprensión.:@0.208094:0.521687:0.523573:0.521687:0.523573:0.505298:0.208094:0.505298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153346:0.551450:0.172068:0.551450:0.172068:0.534549:0.153346:0.534549:0.000000:0.000000:0.000000
F =:@0.186589:0.551450:0.208942:0.551450:0.208942:0.535088:0.186589:0.535088:0.000000:0.000000:0.000000
  2, 4, 6, 8:@0.208942:0.551450:0.279520:0.551450:0.279520:0.535061:0.208942:0.535061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.212977:0.552127:0.221823:0.552127:0.221823:0.536554:0.212977:0.536554:0.000000
}   :@0.279520:0.552127:0.305650:0.552127:0.305650:0.536554:0.279520:0.536554:0.000000:0.000000:0.000000:0.000000
b) :@0.153344:0.577642:0.173375:0.577642:0.173375:0.560741:0.153344:0.560741:0.000000:0.000000:0.000000
G =:@0.186587:0.577642:0.211796:0.577642:0.211796:0.561281:0.186587:0.561281:0.000000:0.000000:0.000000
  7, 14, 21, 28:@0.211796:0.577642:0.309352:0.577642:0.309352:0.561253:0.211796:0.561253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.215832:0.578319:0.224677:0.578319:0.224677:0.562747:0.215832:0.562747:0.000000
} :@0.309352:0.578319:0.322804:0.578319:0.322804:0.562747:0.309352:0.562747:0.000000:0.000000
c) :@0.153344:0.603836:0.170979:0.603836:0.170979:0.586936:0.153344:0.586936:0.000000:0.000000:0.000000
H =:@0.186587:0.603836:0.211999:0.603836:0.211999:0.587475:0.186587:0.587475:0.000000:0.000000:0.000000
  2, –2:@0.211999:0.603836:0.259321:0.603836:0.259321:0.587447:0.211999:0.587447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.216035:0.604514:0.224880:0.604514:0.224880:0.588941:0.216035:0.588941:0.000000
} :@0.259321:0.604514:0.272773:0.604514:0.272773:0.588941:0.259321:0.588941:0.000000:0.000000
 :@0.301041:0.604514:0.305648:0.604514:0.305648:0.588941:0.301041:0.588941:0.000000
d) :@0.153344:0.630032:0.173412:0.630032:0.173412:0.613132:0.153344:0.613132:0.000000:0.000000:0.000000
I =:@0.186587:0.630032:0.204720:0.630032:0.204720:0.613671:0.186587:0.613671:0.000000:0.000000:0.000000
  1, 2, 3, 6:@0.204720:0.630032:0.275298:0.630032:0.275298:0.613643:0.204720:0.613643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.208756:0.630710:0.217601:0.630710:0.217601:0.615137:0.208756:0.615137:0.000000
}   :@0.275298:0.630710:0.305648:0.630710:0.305648:0.615137:0.275298:0.615137:0.000000:0.000000:0.000000:0.000000
Taller:@0.181292:0.326473:0.242187:0.326473:0.242187:0.292526:0.181292:0.292526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representa, de forma gráfica y algebraica, los tipos de conjuntos y sus relaciones. (Ref. I.M.4.4.1):@0.262313:0.314500:0.703042:0.314500:0.703042:0.304071:0.262313:0.304071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.120657:0.367904:0.135675:0.367904:0.135675:0.350768:0.120657:0.350768:0.000000:0.000000
 :@0.135675:0.367904:0.139582:0.367904:0.139582:0.351280:0.135675:0.351280:0.000000
Escribe :@0.153900:0.367904:0.212555:0.367904:0.212555:0.351280:0.153900:0.351280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los siguientes conjuntos por extensión y :@0.212555:0.367904:0.511118:0.367904:0.511118:0.351515:0.212555:0.351515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina:@0.511118:0.367904:0.590854:0.367904:0.590854:0.351280:0.511118:0.351280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 qué tipo de conjunto es.:@0.590854:0.367904:0.773933:0.367904:0.773933:0.351515:0.590854:0.351515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.120104:0.100412:0.138845:0.100412:0.138845:0.083276:0.120104:0.083276:0.000000:0.000000:0.000000
Sean   = {0, 1, 2, 3, 4, 5, 6},     = {2, 4, 6},     = {4, 6, 2},     = {1, 3, 5},     = {1, 3, 5, 6}. :@0.153347:0.100412:0.770470:0.100412:0.770470:0.084023:0.153347:0.084023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.193759:0.100412:0.204816:0.100412:0.204816:0.084051:0.193759:0.084051:0.000000
F:@0.361432:0.100412:0.369485:0.100412:0.369485:0.084051:0.361432:0.084051:0.000000
G:@0.458951:0.100412:0.469860:0.100412:0.469860:0.084051:0.458951:0.084051:0.000000
M:@0.559327:0.100412:0.573221:0.100412:0.573221:0.084051:0.559327:0.084051:0.000000
N:@0.662687:0.100412:0.673946:0.100412:0.673946:0.084051:0.662687:0.084051:0.000000
Determinamos:@0.771023:0.100412:0.885494:0.100412:0.885494:0.083788:0.771023:0.083788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.885494:0.100412:0.889808:0.100412:0.889808:0.084023:0.885494:0.084023:0.000000:0.000000
y :@0.153347:0.117008:0.165491:0.117008:0.165491:0.100619:0.153347:0.100619:0.000000:0.000000
graficamos:@0.165491:0.117008:0.250055:0.117008:0.250055:0.100384:0.165491:0.100384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las relaciones entre::@0.250055:0.117008:0.397196:0.117008:0.397196:0.100619:0.250055:0.100619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.120104:0.140727:0.123826:0.140727:0.123826:0.123591:0.120104:0.123591:0.000000
a):@0.153347:0.140727:0.168255:0.140727:0.168255:0.123827:0.153347:0.123827:0.000000:0.000000
 :@0.168255:0.140727:0.171978:0.140727:0.171978:0.123591:0.168255:0.123591:0.000000
F = G;  :@0.171978:0.140727:0.222322:0.140727:0.222322:0.124338:0.171978:0.124338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.222322:0.140727:0.242353:0.140727:0.242353:0.123827:0.222322:0.123827:0.000000:0.000000:0.000000
M   N:@0.242353:0.140727:0.285179:0.140727:0.285179:0.124366:0.242353:0.124366:0.000000:0.000000:0.000000:0.000000:0.000000
;    :@0.285179:0.140727:0.314313:0.140727:0.314313:0.124338:0.285179:0.124338:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.296456:0.140727:0.310277:0.140727:0.310277:0.123827:0.296456:0.123827:0.000000:0.000000
G ≠ N:@0.314313:0.140727:0.354098:0.140727:0.354098:0.124366:0.314313:0.124366:0.000000:0.000000:0.000000:0.000000:0.000000
;  :@0.354098:0.140727:0.365376:0.140727:0.365376:0.124338:0.354098:0.124338:0.000000:0.000000:0.000000
d):@0.365376:0.140727:0.381629:0.140727:0.381629:0.123827:0.365376:0.123827:0.000000:0.000000
 hallamos:@0.381629:0.140727:0.455008:0.140727:0.455008:0.124103:0.381629:0.124103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 N’.:@0.455008:0.140727:0.474744:0.140727:0.474744:0.124338:0.455008:0.124338:0.000000:0.000000:0.000000:0.000000
Solución:@0.120104:0.164446:0.189318:0.164446:0.189318:0.147546:0.120104:0.147546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153347:0.184611:0.172070:0.184611:0.172070:0.167710:0.153347:0.167710:0.000000:0.000000:0.000000
G:@0.293230:0.194526:0.305503:0.194526:0.305503:0.177625:0.293230:0.177625:0.000000
F:@0.234611:0.194526:0.243991:0.194526:0.243991:0.177625:0.234611:0.177625:0.000000
U:@0.181982:0.186407:0.194255:0.186407:0.194255:0.169507:0.181982:0.169507:0.000000
0:@0.200793:0.201391:0.208969:0.201391:0.208969:0.186492:0.200793:0.186492:0.000000
6:@0.274186:0.225342:0.282361:0.225342:0.282361:0.210443:0.274186:0.210443:0.000000
1:@0.200793:0.225342:0.208969:0.225342:0.208969:0.210443:0.200793:0.210443:0.000000
2:@0.259661:0.205540:0.267836:0.205540:0.267836:0.190641:0.259661:0.190641:0.000000
4:@0.247683:0.224789:0.255859:0.224789:0.255859:0.209890:0.247683:0.209890:0.000000
3:@0.310840:0.237953:0.319015:0.237953:0.319015:0.223054:0.310840:0.223054:0.000000
F = G:@0.239994:0.264545:0.273248:0.264545:0.273248:0.249671:0.239994:0.249671:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.313219:0.206420:0.321394:0.206420:0.321394:0.191521:0.313219:0.191521:0.000000
b):@0.339585:0.184206:0.355802:0.184206:0.355802:0.167305:0.339585:0.167305:0.000000:0.000000
M:@0.478417:0.205718:0.493657:0.205718:0.493657:0.188818:0.478417:0.188818:0.000000
N:@0.389946:0.188361:0.402403:0.188361:0.402403:0.171461:0.389946:0.171461:0.000000
U:@0.366764:0.186397:0.379037:0.186397:0.379037:0.169497:0.366764:0.169497:0.000000
6:@0.394322:0.219164:0.402497:0.219164:0.402497:0.204265:0.394322:0.204265:0.000000
5:@0.454262:0.222332:0.462437:0.222332:0.462437:0.207433:0.454262:0.207433:0.000000
2:@0.379798:0.241720:0.387973:0.241720:0.387973:0.226821:0.379798:0.226821:0.000000
1:@0.439738:0.203347:0.447913:0.203347:0.447913:0.188448:0.439738:0.188448:0.000000
3:@0.428045:0.225325:0.436220:0.225325:0.436220:0.210426:0.428045:0.210426:0.000000
0:@0.495574:0.241707:0.503749:0.241707:0.503749:0.226808:0.495574:0.226808:0.000000
M   N:@0.421461:0.264527:0.461380:0.264549:0.461380:0.249675:0.421461:0.249653:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.498286:0.188268:0.506461:0.188268:0.506461:0.173369:0.498286:0.173369:0.000000
d):@0.709297:0.184206:0.725551:0.184206:0.725551:0.167305:0.709297:0.167305:0.000000:0.000000
N:@0.806237:0.187870:0.818694:0.187870:0.818694:0.170969:0.806237:0.170969:0.000000
U:@0.736341:0.186404:0.748614:0.186404:0.748614:0.169503:0.736341:0.169503:0.000000
0:@0.752574:0.215963:0.760749:0.215963:0.760749:0.201064:0.752574:0.201064:0.000000
6:@0.828529:0.225342:0.836704:0.225342:0.836704:0.210443:0.828529:0.210443:0.000000
1:@0.789044:0.213021:0.797219:0.213021:0.797219:0.198122:0.789044:0.198122:0.000000
3:@0.814005:0.205540:0.822180:0.205540:0.822180:0.190641:0.814005:0.190641:0.000000
5:@0.805277:0.228712:0.813452:0.228712:0.813452:0.213813:0.805277:0.213813:0.000000
N’ :@0.737580:0.264558:0.753328:0.264558:0.753328:0.249684:0.737580:0.249684:0.000000:0.000000:0.000000
es la región pintada:@0.753328:0.264558:0.884346:0.264558:0.884346:0.249658:0.753328:0.249658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.865971:0.237966:0.874146:0.237966:0.874146:0.223067:0.865971:0.223067:0.000000
M:@0.653874:0.192899:0.669113:0.192899:0.669113:0.175998:0.653874:0.175998:0.000000
G:@0.585065:0.192899:0.597338:0.192899:0.597338:0.175998:0.585065:0.175998:0.000000
c):@0.525617:0.184213:0.539438:0.184213:0.539438:0.167313:0.525617:0.167313:0.000000:0.000000
U:@0.551545:0.186412:0.563818:0.186412:0.563818:0.169512:0.551545:0.169512:0.000000
2:@0.584881:0.212794:0.593056:0.212794:0.593056:0.197895:0.584881:0.197895:0.000000
5:@0.643749:0.225342:0.651924:0.225342:0.651924:0.210443:0.643749:0.210443:0.000000
4:@0.566805:0.225543:0.574980:0.225543:0.574980:0.210644:0.566805:0.210644:0.000000
1:@0.658273:0.209588:0.666448:0.209588:0.666448:0.194689:0.658273:0.194689:0.000000
6:@0.599405:0.228712:0.607580:0.228712:0.607580:0.213813:0.599405:0.213813:0.000000
0:@0.622104:0.241448:0.630280:0.241448:0.630280:0.226549:0.622104:0.226549:0.000000
3:@0.665543:0.231717:0.673719:0.231717:0.673719:0.216818:0.665543:0.216818:0.000000
G ≠ N:@0.608116:0.264558:0.644285:0.264558:0.644285:0.249684:0.608116:0.249684:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.120102:0.866290:0.138843:0.866290:0.138843:0.849155:0.120102:0.849155:0.000000:0.000000:0.000000
Dados los conjuntos :@0.153346:0.866290:0.306129:0.866290:0.306129:0.849902:0.153346:0.849902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U =:@0.305797:0.866290:0.330877:0.866290:0.330877:0.849929:0.305797:0.849929:0.000000:0.000000:0.000000
  0, 1, 2, 3, 4, 5:@0.330877:0.866290:0.431935:0.866290:0.431935:0.849902:0.330877:0.849902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.334581:0.866968:0.343427:0.866968:0.343427:0.851395:0.334581:0.851395:0.000000
}  :@0.431935:0.866968:0.449616:0.866968:0.449616:0.851395:0.431935:0.851395:0.000000:0.000000:0.000000
A =:@0.449238:0.866290:0.473157:0.866290:0.473157:0.849929:0.449238:0.849929:0.000000:0.000000:0.000000
  0, 2, 4:@0.473157:0.866290:0.526505:0.866290:0.526505:0.849902:0.473157:0.849902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.476861:0.866968:0.485706:0.866968:0.485706:0.851395:0.476861:0.851395:0.000000
}  :@0.526505:0.866968:0.544185:0.866968:0.544185:0.851395:0.526505:0.851395:0.000000:0.000000:0.000000
B =:@0.543816:0.866290:0.566685:0.866290:0.566685:0.849929:0.543816:0.849929:0.000000:0.000000:0.000000
  1, 3, 4, 5:@0.566685:0.866290:0.635929:0.866290:0.635929:0.849902:0.566685:0.849902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.570381:0.866968:0.579227:0.866968:0.579227:0.851395:0.570381:0.851395:0.000000
}  :@0.635929:0.866968:0.653608:0.866968:0.653608:0.851395:0.635929:0.851395:0.000000:0.000000:0.000000
C =:@0.653239:0.866290:0.677177:0.866290:0.677177:0.849929:0.653239:0.849929:0.000000:0.000000:0.000000
  0, 2 ; :@0.677177:0.866290:0.730702:0.866290:0.730702:0.849902:0.677177:0.849902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.680874:0.866968:0.689719:0.866968:0.689719:0.851395:0.680874:0.851395:0.000000
}:@0.714615:0.866968:0.723460:0.866968:0.723460:0.851395:0.714615:0.851395:0.000000
subraya:@0.730370:0.866290:0.790463:0.866290:0.790463:0.849666:0.730370:0.849666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuáles de las :@0.790463:0.866290:0.889806:0.866290:0.889806:0.849902:0.790463:0.849902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes afirmaciones son falsas.:@0.153346:0.888917:0.402684:0.888917:0.402684:0.872528:0.153346:0.872528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153346:0.912636:0.172068:0.912636:0.172068:0.895735:0.153346:0.895735:0.000000:0.000000:0.000000
C:@0.186589:0.912636:0.196503:0.912636:0.196503:0.896275:0.186589:0.896275:0.000000
   :@0.196503:0.912636:0.216717:0.912646:0.216717:0.896257:0.196503:0.896247:0.000000:0.000000:0.000000
A:@0.216717:0.912646:0.226612:0.912646:0.226612:0.896285:0.216717:0.896285:0.000000
b) :@0.306957:0.912646:0.326988:0.912646:0.326988:0.895745:0.306957:0.895745:0.000000:0.000000:0.000000
A   B:@0.340200:0.912646:0.375692:0.912646:0.375692:0.896285:0.340200:0.896285:0.000000:0.000000:0.000000:0.000000:0.000000
≠:@0.353413:0.913324:0.363530:0.913324:0.363530:0.897751:0.353413:0.897751:0.000000
c) :@0.460569:0.912646:0.478205:0.912646:0.478205:0.895745:0.460569:0.895745:0.000000:0.000000:0.000000
A  = B:@0.493813:0.912646:0.533451:0.912646:0.533451:0.896285:0.493813:0.896285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
':@0.503709:0.912646:0.506989:0.912646:0.506989:0.896257:0.503709:0.896257:0.000000
d) :@0.614182:0.912646:0.634250:0.912646:0.634250:0.895745:0.614182:0.895745:0.000000:0.000000:0.000000
C  = B:@0.647426:0.912646:0.689846:0.912646:0.689846:0.896285:0.647426:0.896285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
':@0.658722:0.912646:0.662002:0.912646:0.662002:0.896257:0.658722:0.896257:0.000000
e) :@0.767795:0.912646:0.786665:0.912646:0.786665:0.895745:0.767795:0.895745:0.000000:0.000000:0.000000
B  = C:@0.801038:0.912646:0.842538:0.912646:0.842538:0.896285:0.801038:0.896285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
':@0.810805:0.912646:0.814085:0.912646:0.814085:0.896257:0.810805:0.896257:0.000000
A = x   :@0.160045:0.417580:0.223364:0.417580:0.223364:0.401219:0.160045:0.401219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.184240:0.417580:0.188276:0.417580:0.188276:0.401191:0.184240:0.401191:0.000000
{:@0.188276:0.418258:0.197121:0.418258:0.197121:0.402685:0.188276:0.402685:0.000000
Z:@0.223364:0.416722:0.235655:0.416722:0.235655:0.403860:0.223364:0.403860:0.000000
 / 2  = 3:@0.235655:0.417580:0.294697:0.417580:0.294697:0.401191:0.235655:0.401191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.259187:0.417580:0.266650:0.417580:0.266650:0.401219:0.259187:0.401219:0.000000
}:@0.294697:0.418258:0.303543:0.418258:0.303543:0.402685:0.294697:0.402685:0.000000
B = x   :@0.160047:0.439432:0.222314:0.439424:0.222314:0.423063:0.160047:0.423070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.183192:0.439432:0.187227:0.439432:0.187227:0.423043:0.183192:0.423043:0.000000
{:@0.187227:0.440109:0.196073:0.440109:0.196073:0.424536:0.187227:0.424536:0.000000
Z:@0.222314:0.438567:0.234605:0.438567:0.234605:0.425705:0.222314:0.425705:0.000000
 / 2 <   ≤ 3:@0.234605:0.439424:0.312701:0.439424:0.312701:0.423035:0.234605:0.423035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.277191:0.439424:0.284654:0.439424:0.284654:0.423063:0.277191:0.423063:0.000000
}:@0.312701:0.440102:0.321546:0.440102:0.321546:0.424529:0.312701:0.424529:0.000000
C = x   :@0.160047:0.461276:0.223382:0.461270:0.223382:0.444909:0.160047:0.444915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.184260:0.461276:0.188296:0.461276:0.188296:0.444887:0.184260:0.444887:0.000000
{:@0.188296:0.461954:0.197141:0.461954:0.197141:0.446381:0.188296:0.446381:0.000000
Z:@0.223382:0.460412:0.235674:0.460412:0.235674:0.447550:0.223382:0.447550:0.000000
 / –2 <   ≤ 1:@0.235674:0.461270:0.322984:0.461270:0.322984:0.444881:0.235674:0.444881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.287474:0.461270:0.294937:0.461270:0.294937:0.444909:0.287474:0.444909:0.000000
}:@0.322984:0.461947:0.331829:0.461947:0.331829:0.446375:0.322984:0.446375:0.000000
D = x   :@0.160047:0.483122:0.225004:0.483115:0.225004:0.466754:0.160047:0.466760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.185882:0.483122:0.189918:0.483122:0.189918:0.466733:0.185882:0.466733:0.000000
{:@0.189918:0.483799:0.198763:0.483799:0.198763:0.468226:0.189918:0.468226:0.000000
R:@0.225004:0.482258:0.238309:0.482258:0.238309:0.469396:0.225004:0.469396:0.000000
 / 1 <   ≤ 3:@0.238309:0.483115:0.316405:0.483115:0.316405:0.466726:0.238309:0.466726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.280895:0.483115:0.288358:0.483115:0.288358:0.466754:0.280895:0.466754:0.000000
}:@0.316405:0.483793:0.325250:0.483793:0.325250:0.468220:0.316405:0.468220:0.000000
Conjunto por compresión:@0.166902:0.393372:0.339232:0.393372:0.339232:0.378008:0.166902:0.378008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto por extensión:@0.409254:0.393372:0.567951:0.393372:0.567951:0.378008:0.409254:0.378008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nombre del conjunto:@0.679674:0.393372:0.823216:0.393372:0.823216:0.378008:0.679674:0.378008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, (2021). 416030371:@0.902241:0.794407:0.902241:0.682810:0.888345:0.682810:0.888345:0.794407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.120102:0.681086:0.138843:0.681086:0.138843:0.663950:0.120102:0.663950:0.000000:0.000000:0.000000
Contesta:@0.153346:0.681086:0.221602:0.681086:0.221602:0.664462:0.153346:0.664462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con verdadero o falso los siguientes enunciados::@0.221602:0.681086:0.580091:0.681086:0.580091:0.664697:0.221602:0.664697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153346:0.710849:0.172068:0.710849:0.172068:0.693948:0.153346:0.693948:0.000000:0.000000:0.000000
El conjunto :@0.186589:0.710849:0.273991:0.710849:0.273991:0.694460:0.186589:0.694460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = x/x   :@0.273991:0.710849:0.350794:0.710845:0.350794:0.694484:0.273991:0.694488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.298187:0.710849:0.302222:0.710849:0.302222:0.694460:0.298187:0.694460:0.000000
{:@0.302222:0.711527:0.311068:0.711527:0.311068:0.695954:0.302222:0.695954:0.000000
R:@0.350794:0.709988:0.364099:0.709988:0.364099:0.697126:0.350794:0.697126:0.000000
;  –1 ≤   < 1 es finito.:@0.364099:0.710845:0.522354:0.710845:0.522354:0.694456:0.364099:0.694456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.412638:0.710845:0.420101:0.710845:0.420101:0.694484:0.412638:0.694484:0.000000
} :@0.448148:0.711523:0.461600:0.711523:0.461600:0.695950:0.448148:0.695950:0.000000:0.000000
 :@0.522354:0.711523:0.526961:0.711523:0.526961:0.695950:0.522354:0.695950:0.000000
b)  :@0.153344:0.737041:0.177189:0.737041:0.177189:0.720141:0.153344:0.720141:0.000000:0.000000:0.000000:0.000000
El conjunto :@0.186587:0.737041:0.273988:0.737041:0.273988:0.720652:0.186587:0.720652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B = x/x   :@0.273988:0.737041:0.349744:0.737041:0.349744:0.720680:0.273988:0.720680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.297133:0.737041:0.301169:0.737041:0.301169:0.720652:0.297133:0.720652:0.000000
{:@0.301169:0.737719:0.310014:0.737719:0.310014:0.722146:0.301169:0.722146:0.000000
Z:@0.349744:0.736184:0.362035:0.736184:0.362035:0.723321:0.349744:0.723321:0.000000
;  –1 <   < 1 es unitario. :@0.362035:0.737041:0.543085:0.737041:0.543085:0.720652:0.362035:0.720652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.410574:0.737041:0.418037:0.737041:0.418037:0.720680:0.410574:0.720680:0.000000
} :@0.446084:0.737719:0.459536:0.737719:0.459536:0.722146:0.446084:0.722146:0.000000:0.000000
c)  :@0.153344:0.763236:0.174794:0.763236:0.174794:0.746335:0.153344:0.746335:0.000000:0.000000:0.000000:0.000000
El conjunto :@0.186587:0.763236:0.273988:0.763236:0.273988:0.746847:0.186587:0.746847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C =:@0.273988:0.763236:0.298202:0.763236:0.298202:0.746875:0.273988:0.746875:0.000000:0.000000:0.000000
  0 es vacío. :@0.298202:0.763236:0.398855:0.763236:0.398855:0.746847:0.298202:0.746847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{ } :@0.302237:0.763913:0.333527:0.763913:0.333527:0.748341:0.302237:0.748341:0.000000:0.000000:0.000000:0.000000
 :@0.421650:0.763236:0.425686:0.763236:0.425686:0.746847:0.421650:0.746847:0.000000
 :@0.481958:0.763236:0.485994:0.763236:0.485994:0.746847:0.481958:0.746847:0.000000
d)  :@0.153344:0.789432:0.177226:0.789432:0.177226:0.772531:0.153344:0.772531:0.000000:0.000000:0.000000:0.000000
El conjunto :@0.186587:0.789432:0.273988:0.789432:0.273988:0.773043:0.186587:0.773043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D = x/x   :@0.273988:0.789432:0.352434:0.789432:0.352434:0.773070:0.273988:0.773070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.299823:0.789432:0.303859:0.789432:0.303859:0.773043:0.299823:0.773043:0.000000
{:@0.303859:0.790109:0.312704:0.790109:0.312704:0.774536:0.303859:0.774536:0.000000
Z:@0.352434:0.788574:0.364726:0.788574:0.364726:0.775712:0.352434:0.775712:0.000000
;  2  = 4 es vacío. :@0.364726:0.789432:0.499284:0.789432:0.499284:0.773043:0.364726:0.773043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.384996:0.789432:0.392459:0.789432:0.392459:0.773070:0.384996:0.773070:0.000000
} :@0.420506:0.790109:0.433958:0.790109:0.433958:0.774536:0.420506:0.774536:0.000000:0.000000
e) :@0.153344:0.809591:0.172214:0.809591:0.172214:0.792691:0.153344:0.792691:0.000000:0.000000:0.000000
El conjunto de los enteros es subconjunto  :@0.186587:0.809591:0.502524:0.809591:0.502524:0.793202:0.186587:0.793202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los reales.     :@0.186587:0.826188:0.316003:0.826188:0.316003:0.809799:0.186587:0.809799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.283498:0.825330:0.295790:0.825330:0.295790:0.812468:0.283498:0.812468:0.000000
R:@0.316003:0.825330:0.329308:0.825330:0.329308:0.812468:0.316003:0.812468:0.000000
F:@0.571879:0.707710:0.579619:0.707710:0.579619:0.692811:0.571879:0.692811:0.000000
V:@0.571494:0.734113:0.580021:0.734113:0.580021:0.719214:0.571494:0.719214:0.000000
F:@0.571879:0.760516:0.579619:0.760516:0.579619:0.745617:0.571879:0.745617:0.000000
F:@0.571879:0.786920:0.579619:0.786920:0.579619:0.772021:0.571879:0.772021:0.000000
V:@0.571494:0.813323:0.580021:0.813323:0.580021:0.798424:0.571494:0.798424:0.000000
Conjunto vacío:@0.638185:0.416003:0.739705:0.416003:0.739705:0.401104:0.638185:0.401104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto unitario:@0.638185:0.438006:0.756271:0.438006:0.756271:0.423107:0.638185:0.423107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto finito:@0.638185:0.460009:0.739217:0.460009:0.739217:0.445110:0.638185:0.445110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto infinito:@0.638185:0.482011:0.751698:0.482011:0.751698:0.467112:0.638185:0.467112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A =  :@0.371604:0.416003:0.408325:0.416003:0.408325:0.401129:0.371604:0.401129:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.393600:0.416003:0.397269:0.416003:0.397269:0.401104:0.393600:0.401104:0.000000
{ }:@0.397269:0.416619:0.416367:0.416619:0.416367:0.402462:0.397269:0.402462:0.000000:0.000000:0.000000
B =:@0.371604:0.438421:0.392645:0.438421:0.392645:0.423547:0.371604:0.423547:0.000000:0.000000:0.000000
  3:@0.392645:0.438421:0.412530:0.438421:0.412530:0.423522:0.392645:0.423522:0.000000:0.000000:0.000000
{ }:@0.396314:0.439037:0.420571:0.439037:0.420571:0.424880:0.396314:0.424880:0.000000:0.000000:0.000000
C =:@0.371604:0.460839:0.393617:0.460839:0.393617:0.445965:0.371604:0.445965:0.000000:0.000000:0.000000
  –1, 0, 1:@0.393617:0.460839:0.451396:0.460839:0.451396:0.445940:0.393617:0.445940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.397286:0.461455:0.405327:0.461455:0.405327:0.447297:0.397286:0.447297:0.000000
}:@0.451396:0.461455:0.459437:0.461455:0.459437:0.447297:0.451396:0.447297:0.000000
D =:@0.371604:0.483256:0.395091:0.483256:0.395091:0.468382:0.371604:0.468382:0.000000:0.000000:0.000000
  1,2;  1,3;  2;  2, 1...3:@0.395091:0.483256:0.524118:0.483256:0.524118:0.468357:0.395091:0.468357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.398760:0.483872:0.406801:0.483872:0.406801:0.469715:0.398760:0.469715:0.000000
}:@0.524118:0.483872:0.532159:0.483872:0.532159:0.469715:0.524118:0.469715:0.000000
F = x/x :@0.371604:0.549843:0.425698:0.549843:0.425698:0.534969:0.371604:0.534969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.391925:0.549843:0.395594:0.549843:0.395594:0.534944:0.391925:0.534944:0.000000
{:@0.395594:0.550459:0.403635:0.550459:0.403635:0.536302:0.395594:0.536302:0.000000
es un dígito par:@0.425698:0.549843:0.529829:0.549843:0.529829:0.534944:0.425698:0.534944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.529829:0.550459:0.537870:0.550459:0.537870:0.536302:0.529829:0.536302:0.000000
F = x/x :@0.371604:0.576032:0.425698:0.576032:0.425698:0.561159:0.371604:0.561159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.391925:0.576032:0.395594:0.576032:0.395594:0.561133:0.391925:0.561133:0.000000
{:@0.395594:0.576649:0.403635:0.576649:0.403635:0.562491:0.395594:0.562491:0.000000
es múltiplo de 7 menor que 35:@0.425698:0.576032:0.631183:0.576032:0.631183:0.561133:0.425698:0.561133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.631183:0.576649:0.639224:0.576649:0.639224:0.562491:0.631183:0.562491:0.000000
H = x/x :@0.371604:0.602222:0.428479:0.602222:0.428479:0.587348:0.371604:0.587348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.394706:0.602222:0.398375:0.602222:0.398375:0.587323:0.394706:0.587323:0.000000
{:@0.398375:0.602838:0.406416:0.602838:0.406416:0.588681:0.398375:0.588681:0.000000
= √ 4:@0.428479:0.602222:0.460588:0.602257:0.460588:0.587358:0.428479:0.587323:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.460655:0.602873:0.468696:0.602873:0.468696:0.588716:0.460655:0.588716:0.000000
I = x/x :@0.371616:0.628447:0.421873:0.628447:0.421873:0.613573:0.371616:0.613573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.388100:0.628447:0.391769:0.628447:0.391769:0.613548:0.388100:0.613548:0.000000
{:@0.391769:0.629063:0.399810:0.629063:0.399810:0.614906:0.391769:0.614906:0.000000
es un divisor de 6:@0.421873:0.628447:0.538001:0.628447:0.538001:0.613548:0.421873:0.613548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.538001:0.629063:0.546042:0.629063:0.546042:0.614906:0.538001:0.614906:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000