# Let A = {x:x <spa

A = All natural numbers i.e. {1, 2, 3…..}

B = All even natural numbers i.e. {2, 4, 6, 8…}

C = All odd natural numbers i.e. {1, 3, 5, 7……}

D = All prime natural numbers i.e. {1, 2, 3, 5, 7, 11, …}

i. A B

A contains all elements of B.

B A

A B = B

ii. A C

A contains all elements of C.

C A

A C = C

iii. A D

A contains all elements of D.

D A

A D = D

iv. B C

B C = ϕ

There is no natural number which is both even and odd at same time.

v. B D

B D = 2

2 is the only natural number which is even and a prime number.

vi. C D

C D = {1, 3, 5, 7…}

Every prime number is odd except 2.

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