# 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

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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