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NCERT Class XI Mathematics - Sets - Solutions
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Question : 66 of 73
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Using properties of sets, show that (i) A ∪ (A ∩ B) = A (ii) A ∩ (A ∪ B) = A.
Solution:
(i) We know that if A ⊂ B, then A ∪ B = B. Also, A ∩ B ⊂ A \ A ∪ (A ∩ B) = A. (ii) We know that if A ⊂ B, then A ∩ B = A Also, A ⊂ A ∪ B ∴ A ∩ (A ∪ B) = A.
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