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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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