{"id":446,"date":"2025-02-28T07:33:21","date_gmt":"2025-02-28T07:33:21","guid":{"rendered":"http:\/\/lash.utrng.edu.mx\/?p=446"},"modified":"2025-02-28T14:16:33","modified_gmt":"2025-02-28T14:16:33","slug":"sobre-conjuntos","status":"publish","type":"post","link":"https:\/\/lash.utrng.edu.mx\/?p=446","title":{"rendered":"1. Sobre Conjuntos"},"content":{"rendered":"

\"\"<\/a><\/p>\n

Conjunto<\/strong><\/span>.<\/p>\n

Es una colecci\u00f3n de elementos considerada en s\u00ed misma como un objeto, que comparten entre s\u00ed caracter\u00edsticas y propiedades semejantes.<\/p>\n

a,b,c,d,… –> Letras que pueden considerarse elementos de un conjunto<\/p>\n

A,B,C,D,.. –> Letras que podr\u00edan considerarse el nombre de un conjunto<\/p>\n

.<\/p>\n

a \u2208 A<\/h3>\n

se lee: \u201ca es un elemento de A\u201d o, en forma alternativa, \u201ca pertenece a A\u00bb<\/p>\n

a \u2209 A<\/h3>\n

se lee: \u201ca no es un elemento de A\u201d o, en forma alternativa, \u201ca no pertenece a A\u201d<\/p>\n

Operaciones de conjuntos.<\/span><\/strong><\/p>\n

\"\"<\/a><\/p>\n

Considerando los siguientes como conjuntos:<\/p>\n

A={ \u25ca, \u25cb, \u25cf, \u25b2, \u25a0, \u25bc, \u263a, \u2126, \u2660, \u2663, \u2665, \u2666, \u2642, \u263c }<\/p>\n

B={ \u25b2, \u25a0, \u25bc, \u263a, \u2666 }<\/p>\n

C={ \u2665, \u2666, \u2642, \u263c, \u03a3, \u03a6 }<\/p>\n

D={ \u03b8, \u03c6, \u03c8, \u03bb }<\/p>\n

E={  \u2126, \u2660, \u2663,  \u25bc, \u263a, \u263c, \u03a3, \u03c8, \u03bb }<\/p>\n

Uni\u00f3n.<\/span><\/strong><\/p>\n

C \u222a B = { \u2665,\u2666,\u2642,\u263c,\u03a3,\u03a6, \u25b2,\u25a0,\u25bc,\u263a}<\/p>\n

podr\u00edamos decir que es la uni\u00f3n de todos los elementos de C y los de B, sin repetir elementos<\/p>\n

Intersecci\u00f3n.<\/strong><\/span><\/p>\n

D \u2229 E = { \u03c8,\u03bb }<\/p>\n

son aquello elementos que est\u00e1n en D y en E, los que coinciden.<\/p>\n

Resta.<\/span><\/strong><\/p>\n

C – A = { \u03a3,\u03a6 }<\/p>\n

elementos de C que no estan en A.<\/p>\n

Suma.<\/span><\/strong><\/p>\n

C + E = { \u2665, \u2666, \u2642,  \u03a6,  \u2126, \u2660, \u2663, \u25bc, \u263a, \u03c8, \u03bb }<\/p>\n

todos los elementos de C y E, menos los que se repiten<\/p>\n

\n

Ejercicios:<\/strong><\/span><\/p>\n

Dados los conjuntos anteriores, resolver y generar los diagramas de Venn de las operaciones siguientes:<\/p>\n

    \n
  1. D U C<\/li>\n
  2. A-B<\/li>\n
  3. A \u0548 B<\/li>\n
  4. B \u0548 C<\/li>\n
  5. C \u2013 B<\/li>\n
  6. Ac<\/sup><\/li>\n
  7. (C U D)-E<\/li>\n
  8. (A U B U C)-E<\/li>\n
  9. D – (A U B U C)<\/li>\n
  10. (A U B U C)c<\/sup><\/li>\n<\/ol>\n
    \n

    Dados los siguientes conjuntos, resolver y generar los diagramas de Venn de las operaciones siguientes:<\/p>\n

    A={1,3,5,7,9,11,13}<\/p>\n

    B={2,4,6,8,10}<\/p>\n

    C={1,1,2,3,5,8,13,21,33}<\/p>\n

    D={1,2,3,4,5,6,7}<\/p>\n

    E={0,1,1,2,2,3,3,4,5}<\/p>\n

      \n
    1. D U C<\/li>\n
    2. A-B<\/li>\n
    3. A \u0548 B<\/li>\n
    4. B \u0548 C<\/li>\n
    5. C \u2013 B<\/li>\n
    6. Ac<\/sup><\/li>\n
    7. (C U D)-E<\/li>\n
    8. (A U B U C)-E<\/li>\n
    9. D – (A U B U C)<\/li>\n
    10. (A U B U C)c<\/sup><\/li>\n
    11. D+E<\/li>\n
    12. (C-B) \u0548 E<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

      Conjunto. Es una colecci\u00f3n de elementos considerada en s\u00ed misma como un objeto, que comparten entre s\u00ed caracter\u00edsticas y propiedades semejantes. a,b,c,d,… –> Letras que pueden considerarse elementos de un conjunto A,B,C,D,.. –> Letras que podr\u00edan considerarse el nombre de un conjunto<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[22,21,44],"tags":[],"class_list":["post-446","post","type-post","status-publish","format-standard","hentry","category-primerparcialdeshabpenmath","category-primerparcialprobesta","category-segundoparcialmecatronica"],"_links":{"self":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/446","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=446"}],"version-history":[{"count":6,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/446\/revisions"}],"predecessor-version":[{"id":4034,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/446\/revisions\/4034"}],"wp:attachment":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=446"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=446"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=446"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}