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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