Ejercicios Teoria De Conjuntos-1.pdf

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Raciel V´asquez Aguilar Mayo de 2013

Ejercicios Teor´ıa de Conjuntos 1. Si A, B, C son conjuntos cualesquiera, entonces a) A − (B ∪ C) = (A − B) ∩ (A − C) b) A − (B ∩ C) = (A − B) ∪ (A − C) 2. Sean A, B dos conjuntos cualesquiera. Demostrar que: a) (A ∩ B) ∪ (A − B) = ∅ b) A = (A ∩ B) ∪ (A − B) 3. Sean A un conjunto y B familia de conjuntos. Demostrar que: a) A ∩ ∪B = {A ∩ B : B ∈ B} S

b) A ∪ ∩B = {A ∪ B : B ∈ B} T

c) A − (∪B) = {A − B : B ∈ B} S d ) A − (∩B) = {A − B : B ∈ B} T

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