Question

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 1

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

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

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

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

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

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

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

(iv) B∩C = Φ

(v) B∩D = {2}

(vi) C∩D = {x:xis odd prime number}