Ejercicio para Conjuntos


Sea ={a, b}, A={a, b, aa, bb, aaa, bbb}, B={w * | long(w) >= 2} y C={w * | long(w) <= 2}. Determine:

a) * \ B                 d) (B C)c

b) \ B                 e) Bc U Cc

c) \ C                  f) Ac Bc

g) ¿Cuántos conjuntos hay en ( )?

Solución

  1. * \ B = {w * | long(w) <2} = {, a, b}

  2. \ B = {a, b}

  3. \ C =
    C = {, a, b}

  4. (B C)c = {w * | long(w) 2} = { , a, b, aaa, aab, ...}
    B C = {w * | long(w) = 2} = {aa, ab, ba, bb}

  5. Bc U Cc = {w * | long(w) 2}
    Bc = {w * | long(w) < 2}
    Cc = {w * | long(w) > 2}

  6. Ac Bc = { }
    Bc = {, a, b}
    Ac = {, ab, ba, aab, ...}

  7. () = {, {a}, {b}, {ab} }






Alberto Pacheco
http://www.socrates.itch.edu.mx/~apacheco/teoria/teo_ej.htm
Ultima actualización: Mzo 5, 1999