1.

For any two sets, prove that: A ∪ (A ∩ B) = A

Answer»

A ∪ (A ∩ B) [∵ union is distributive over intersection] 

(A ∪ A) ∩ (A ∪ B)[∵ A ∪ A = A] 

= A ∩ (A ∪ B) 

= A.



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