1.

For any two sets A and B, prove the following: A ∩ (A’ ∪ B) = A ∩ B

Answer»

Expanding 

(A ∩ A’) ∪ (A∩ B) 

(A ∩ A’) =ϕ 

⇒ ϕ ∪ (A∩ B) 

(A ∪ ϕ =A) 

⇒ (A∩ B)



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