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 :
`A cap B`
`A cap C`
`B cap D`
`C cap D`.

Answer

A, B, C, D

Explanation

A = {x : x is a natural number}
B = {x : x is an even natural number}
C = {x : x is an odd natural number}
D = {x : x is a prime number}
(i) `AnnB` = {x : x = 2n, `n in N`} = B
(ii) `AnnC` = {x : x is an odd natural number} = C
(iii) `BnnD` = {x : x is prime natural number} ={2}
(iv) `C nn D` = {x : x is odd prime natural number}