Q. 44.0( 7 Votes )

# 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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