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
(i) It is given in the question that,
A = {x: x is a natural number}
And, B = {x: x is an even natural number}
∴
= B
(ii) It is given in the question that,
A = {x: x is a natural number}
And, C = {x: x is an odd natural number}
∴
= C
(iii) It is given in the question that,
A = {x: x is a natural number}
And, D = {x: x is a prime number}
∴
= D
(iv) It is given in the question that,
B = {x: x is an even natural number}
And, C = {x: x is an odd natural number}
∴
=
(v) It is given in the question that,
B = {x: x is an even natural number}
And, D = {x: x is a prime number}
∴
= {2}
(vi) It is given in the question that,
C = {x: x is an odd natural number}
And, D = {x: x is a prime number}
∴
=