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प्रश्न
Using properties of sets show that A ∩ (A ∪ B) = A.
उत्तर
Left side = A ∩ (A ∪ B)
= (A ∩ A) ∪ (A ∩ B) [By distributive law]
= A ∪ (A ∩ B) [∴ A ∩ A = A]
= A [∴ A ∩ B ⊂ A]
Hence, A ∩ (A ∪ B) = A.
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