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For any two sets, prove that:(i) A ∪ (A ∩ B) = A(ii) A ∩ (A ∪ B) = A |
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Answer» (i) A ∪ (A ∩ B) = A As we know union is distributive over intersection Therefore, A ∪ (A ∩ B) (A ∪ A) ∩ (A ∪ B) [Here, A ∪ A = A] A ∩ (A ∪ B) A (ii) A ∩ (A ∪ B) = A As we know union is distributive over intersection Therefore, (A ∩ A) ∪ (A ∩ B) A ∪ (A ∩ B) [Here, A ∩ A = A] A |
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