1.

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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