If 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}
then find each of the following :
(i) `(A cap B)`
(ii) `(A cap C)`
(iii) `(A cap D)`
(iv) `(B cap C)`
(v) `(B cap D)`
(vi) `(C cap D)`.

Answer

(i) {x : x is an even natural number}
(ii) {x : x is an odd natural number}
(iii) {x : x is a prime number}
(iv) `phi`
(v) `{2}`
(vi) {x : x is an odd prime number}