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If A = {x : x ϵ N}, B = {x : x ϵ N and x is even), C = {x : x ϵ N and x is odd} and D = {x : x ϵ N and x is prime} then find: (i) A ∩ B (ii) A ∩ C (iii) A ∩ D (iv) B ∩ C (v) B ∩ D (vi) C ∩ D |
Answer» Given; A = {x : x ϵ N}, B = {x : x ϵ N and x is even), C = {x : x ϵ N and x is odd} and D = {x : x ϵ N and x is prime} (i) A ∩ B = {x : x ϵ N and x is even} (ii) A ∩ C = {x : x ϵ N and x is odd} (iii) A ∩ D = {x : x ϵ N and x is prime} (iv) B ∩ C = Φ or {} (v) B ∩ D = {2} [∵ 2 is the only even prime number] (vi) C ∩ D = {x : x ϵ N and x is prime and x ≠ 2} |
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