1.

Using properties of sets, show that(i) A∪(A∩B) = A(ii) A∩(A∪B) = A

Answer»

(i) A ∪ (A ∩ B) = (A ∪ A) ∩ (A ∪ B) 

∵ distributive law = A ∩ (A ∪ B) = A 

(ii) A ∩ (A ∪ B) = (A ∩ A) ∪ (A ∩ B) 

∵ distributive law = A ∪ (A ∩ B) = A.



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