1.

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

Answer»

= A∩ (A ∪ B’) 

= A∩( A’∩ B’) [By De–morgan’s law] 

= (A ∩ A’) ∩ B’ [∴ A ∩ A’ = ϕ ] 

= ϕ ∩ B’ 

= ϕ 

= RHS



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