1.

If A = {x: x is a natural number}, B ={x: x is an even natural number}C = {x: x is an odd natural number} and D = {x: x is a prime number},find(i) A ∩ B(ii) A ∩ C(iii) A ∩ D(iv) B ∩ C(v) B ∩ D(vi) C ∩ D

Answer»

A = {x: x is a natural number} = {1, 2, 3, 4, 5 …}

B ={x: x is an even natural number} = {2, 4, 6, 8 …}

C = {x: x is an odd natural number} = {1, 3, 5, 7, 9 …}

D = {x: x is a prime number} = {2, 3, 5, 7 …}

(i) A ∩B = {x: x is a even natural number} = B

(ii) A ∩ C = {x: x is an odd natural number} = C

(iii) A ∩ D = {x: x is a prime number} = D

(iv) B ∩ C = Φ

(v) B ∩ D = {2}

(vi) C ∩ D = {x: x is odd prime number}



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