45:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento variacional:@0.707231:0.043661:0.926913:0.043661:0.926913:0.024916:0.707231:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 5.:@0.073089:0.482961:0.152608:0.482961:0.152608:0.466292:0.073089:0.466292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Encuentra la solución de la inecuación :@0.152490:0.482961:0.442588:0.482961:0.442588:0.466527:0.152490:0.466527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x 11 14 :@0.073099:0.499603:0.166921:0.499603:0.166921:0.483169:0.073099:0.483169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.084862:0.499048:0.100195:0.499048:0.100195:0.485333:0.084862:0.485333:0.000000 ,:@0.125799:0.499048:0.141133:0.499048:0.141133:0.485333:0.125799:0.485333:0.000000 Pasos:@0.138370:0.538825:0.178998:0.538825:0.178998:0.523418:0.138370:0.523418:0.000000:0.000000:0.000000:0.000000:0.000000 Justificación:@0.320183:0.538825:0.409040:0.538825:0.409040:0.523418:0.320183:0.523418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x 11 14:@0.121013:0.565018:0.196361:0.565018:0.196361:0.550078:0.121013:0.550078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.130137:0.564514:0.144076:0.564514:0.144076:0.552045:0.130137:0.552045:0.000000 ,:@0.164215:0.564514:0.178155:0.564514:0.178155:0.552045:0.164215:0.552045:0.000000 x 11 11 14 11:@0.086934:0.586461:0.230440:0.586461:0.230440:0.571521:0.086934:0.571521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.096058:0.585956:0.109998:0.585956:0.109998:0.573488:0.096058:0.573488:0.000000 2:@0.130137:0.585956:0.144076:0.585956:0.144076:0.573488:0.130137:0.573488:0.000000 ,:@0.164215:0.585956:0.178155:0.585956:0.178155:0.573488:0.164215:0.573488:0.000000 2:@0.198294:0.585956:0.212233:0.585956:0.212233:0.573488:0.198294:0.573488:0.000000 Propiedad aditiva de la desigualdad:@0.247197:0.586461:0.482211:0.586461:0.482211:0.571521:0.247197:0.571521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x 3:@0.142098:0.607904:0.175268:0.607904:0.175268:0.592964:0.142098:0.592964:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.151221:0.607399:0.165161:0.607399:0.165161:0.594930:0.151221:0.594930:0.000000 Ejemplo 6. :@0.514231:0.482961:0.597579:0.482961:0.597579:0.466292:0.514231:0.466292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Encuentra la solución de la inecuación :@0.597450:0.482961:0.883591:0.482961:0.883591:0.466527:0.597450:0.466527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10x 5 45 :@0.514231:0.499603:0.616962:0.499603:0.616962:0.483169:0.514231:0.483169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 .:@0.543793:0.499048:0.591173:0.499048:0.591173:0.485333:0.543793:0.485333:0.000000:0.000000:0.000000 Pasos:@0.568839:0.521566:0.609467:0.521566:0.609467:0.506160:0.568839:0.506160:0.000000:0.000000:0.000000:0.000000:0.000000 Justificación:@0.750652:0.521566:0.839509:0.521566:0.839509:0.506160:0.750652:0.506160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10x 5 45:@0.547436:0.539435:0.630876:0.539435:0.630876:0.524495:0.547436:0.524495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 .:@0.572744:0.538931:0.612670:0.538931:0.612670:0.526462:0.572744:0.526462:0.000000:0.000000:0.000000 10x 5 5 45 5:@0.529524:0.560735:0.648786:0.560735:0.648786:0.545795:0.529524:0.545795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 1 . 1:@0.552818:0.560231:0.640704:0.560231:0.640704:0.547762:0.552818:0.547762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Propiedad aditiva de la desigualdad:@0.677669:0.560735:0.912683:0.560735:0.912683:0.545795:0.677669:0.545795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10x 50:@0.560428:0.585610:0.617884:0.585610:0.617884:0.570670:0.560428:0.570670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.585738:0.585105:0.599677:0.585105:0.599677:0.572637:0.585738:0.572637:0.000000 10:@0.553142:0.605685:0.571034:0.605685:0.571034:0.589251:0.553142:0.589251:0.000000:0.000000 x:@0.570942:0.605685:0.578397:0.605685:0.578397:0.589279:0.570942:0.589279:0.000000 50:@0.556824:0.623228:0.574715:0.623228:0.574715:0.606794:0.556824:0.606794:0.000000:0.000000 :@0.583337:0.612176:0.602875:0.612176:0.602875:0.597236:0.583337:0.597236:0.000000:0.000000:0.000000 5:@0.585355:0.612933:0.599294:0.612933:0.599294:0.600464:0.585355:0.600464:0.000000 50:@0.606754:0.605685:0.624646:0.605685:0.624646:0.589251:0.606754:0.589251:0.000000:0.000000 10:@0.606754:0.623228:0.624646:0.623228:0.624646:0.606794:0.606754:0.606794:0.000000:0.000000 Propiedad multiplicativa de la igualdad:@0.666568:0.614467:0.923804:0.614467:0.923804:0.599527:0.666568:0.599527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x 5:@0.572567:0.639764:0.605737:0.639764:0.605737:0.624824:0.572567:0.624824:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.581690:0.639259:0.595629:0.639259:0.595629:0.626791:0.581690:0.626791:0.000000 Ejemplo 7. :@0.073089:0.683623:0.156437:0.683623:0.156437:0.666953:0.073089:0.666953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si el perímetro de un rombo no mide más de 60 metros, ¿qué podemos decir de la longitud de sus lados? :@0.156315:0.683623:0.925017:0.683623:0.925017:0.667189:0.156315:0.667189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución: :@0.073089:0.718133:0.146861:0.718133:0.146861:0.701463:0.073089:0.701463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Llamamos al lado del rombo.:@0.073089:0.752637:0.294329:0.752637:0.294329:0.736203:0.073089:0.736203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.152074:0.752637:0.159529:0.752637:0.159529:0.736231:0.152074:0.736231:0.000000 Entonces, el perímetro será 4:@0.073089:0.787141:0.282405:0.787141:0.282405:0.770707:0.073089:0.770707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.282158:0.787141:0.289613:0.787141:0.289613:0.770735:0.282158:0.770735:0.000000 Como nos dicen que el perímetro no mide más de 60 metros, quiere decir que: 4x 60:@0.073089:0.821645:0.706630:0.821645:0.706630:0.805211:0.073089:0.805211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.669539:0.821090:0.684872:0.821090:0.684872:0.807375:0.669539:0.807375:0.000000 Por tanto: :@0.073089:0.862837:0.150827:0.862837:0.150827:0.846404:0.073089:0.846404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.203033:0.852249:0.212016:0.852249:0.212016:0.835815:0.203033:0.835815:0.000000 x:@0.211942:0.852249:0.219397:0.852249:0.219397:0.835842:0.211942:0.835842:0.000000 4:@0.206733:0.869792:0.215715:0.869792:0.215715:0.853358:0.206733:0.853358:0.000000 :@0.228776:0.858740:0.248315:0.858740:0.248315:0.843800:0.228776:0.843800:0.000000:0.000000:0.000000 #:@0.230794:0.858236:0.244734:0.858236:0.244734:0.845767:0.230794:0.845767:0.000000 60:@0.252194:0.852249:0.270085:0.852249:0.270085:0.835815:0.252194:0.835815:0.000000:0.000000 4:@0.256648:0.869792:0.265631:0.869792:0.265631:0.853358:0.256648:0.853358:0.000000 x 15:@0.193583:0.897349:0.238970:0.897349:0.238970:0.880915:0.193583:0.880915:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.203608:0.896794:0.218942:0.896794:0.218942:0.883078:0.203608:0.883078:0.000000 Ahora aplicamos la propiedad multiplicativa de la desigualdades, para lo cual dividimos ambos lados de la inecuación :@0.073089:0.136836:0.931616:0.136836:0.931616:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entre 3, con el fin de despejar la variable y de esta forma encontrar el conjunto solución. :@0.073089:0.153478:0.723988:0.153478:0.723988:0.137044:0.073089:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.367126:0.153478:0.374581:0.153478:0.374581:0.137072:0.367126:0.137072:0.000000 4. :@0.073089:0.195922:0.089158:0.195922:0.089158:0.179488:0.073089:0.179488:0.000000:0.000000:0.000000 3:@0.109579:0.189114:0.118562:0.189114:0.118562:0.172680:0.109579:0.172680:0.000000 x:@0.118488:0.189114:0.125943:0.189114:0.125943:0.172708:0.118488:0.172708:0.000000 3:@0.113279:0.206658:0.122262:0.206658:0.122262:0.190224:0.113279:0.190224:0.000000 :@0.132145:0.195922:0.153638:0.195922:0.153638:0.179488:0.132145:0.179488:0.000000:0.000000:0.000000 ,:@0.134365:0.195368:0.149699:0.195368:0.149699:0.181652:0.134365:0.181652:0.000000 15:@0.157351:0.188096:0.175243:0.188096:0.175243:0.171662:0.157351:0.171662:0.000000:0.000000 3:@0.161806:0.205639:0.170788:0.205639:0.170788:0.189205:0.161806:0.189205:0.000000 :@0.180681:0.195922:0.197605:0.195922:0.197605:0.179488:0.180681:0.179488:0.000000:0.000000:0.000000 que se convierte en::@0.253813:0.195922:0.400157:0.195922:0.400157:0.179488:0.253813:0.179488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5. x 5:@0.073089:0.230433:0.139778:0.230433:0.139778:0.213999:0.073089:0.213999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.113327:0.229878:0.128660:0.229878:0.128660:0.216162:0.113327:0.216162:0.000000 Las inecuaciones 1, 2, 3, 4 y 5 que se obtuvieron en el proceso, son equivalentes, lo que quiere decir que todas tienen la :@0.073089:0.264943:0.931703:0.264943:0.931703:0.248509:0.073089:0.248509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 misma solución.:@0.073089:0.281585:0.190564:0.281585:0.190564:0.265151:0.073089:0.265151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La solución finalmente es el conjunto de todos los naturales que satisfacen esta última inecuación.:@0.073089:0.316089:0.785135:0.316089:0.785135:0.299655:0.073089:0.299655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Representación gráfica de la desigualdad:@0.073089:0.350593:0.384113:0.350593:0.384113:0.333923:0.073089:0.333923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x 5:@0.383877:0.350593:0.427778:0.350593:0.427778:0.334159:0.383877:0.334159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.399597:0.350038:0.414930:0.350038:0.414930:0.336323:0.399597:0.336323:0.000000 0:@0.264451:0.396016:0.274251:0.396016:0.274251:0.378089:0.264451:0.378089:0.000000 1:@0.306359:0.396016:0.316159:0.396016:0.316159:0.378089:0.306359:0.378089:0.000000 2:@0.348268:0.396016:0.358067:0.396016:0.358067:0.378089:0.348268:0.378089:0.000000 3:@0.390176:0.396016:0.399975:0.396016:0.399975:0.378089:0.390176:0.378089:0.000000 4:@0.432084:0.396016:0.441884:0.396016:0.441884:0.378089:0.432084:0.378089:0.000000 5:@0.473993:0.396016:0.483792:0.396016:0.483792:0.378089:0.473993:0.378089:0.000000 6:@0.515901:0.396016:0.525700:0.396016:0.525700:0.378089:0.515901:0.378089:0.000000 7:@0.557809:0.396016:0.567609:0.396016:0.567609:0.378089:0.557809:0.378089:0.000000 8:@0.599718:0.396016:0.609517:0.396016:0.609517:0.378089:0.599718:0.378089:0.000000 9:@0.641626:0.396016:0.651425:0.396016:0.651425:0.378089:0.641626:0.378089:0.000000 10:@0.678614:0.396016:0.698213:0.396016:0.698213:0.378089:0.678614:0.378089:0.000000:0.000000 El uso de tablas de dos columnas, como las que se presentan en los siguientes ejemplos, nos simplifica el proceso de :@0.073089:0.433995:0.930815:0.433995:0.930815:0.417561:0.073089:0.417561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 solución de una inecuación.:@0.073089:0.450637:0.276158:0.450637:0.276158:0.434203:0.073089:0.434203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 3 (Ev. 3) Describe procedimientos para resolver ecuaciones lineales.:@0.082522:0.971294:0.461196:0.971294:0.461196:0.959342:0.082522:0.959342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.487291:0.782397:0.494470:0.782397:0.494470:0.767457:0.487291:0.767457:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000