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Question
Using properties of sets show that A ∪ (A ∩ B) = A
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Solution
Left side = A ∪ (A ∩ B)
= (A ∪ A) (A ∪ B) (by distributive law)
= A ∩ (A ∪ B) (∴ A ∪ A = A)
= A [∴ A ⊂ A ∪ B]
∴ A ∪ (A ∩ B) = A
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