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: 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}