**(i)** Given that,

A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}

To find, A ∩ B

The intersection of sets A and B is the set of all elements which are common to both A and B.

A ∩ B = {3, 5, 7, 9, 11} ∩ {7, 9, 11, 13}

A ∩ B = {7, 9, 11}

**(ii)** To find B ∩ C

The intersection of sets A and B is the set of all elements which are common to both A and B.

B ∩ C = {7, 9, 11, 13} ∩ {11, 13, 15}

= B ∩ C = {11, 13}

**(iii)** To find, A ∩ C ∩ D

The intersection of sets A and B is the set of all elements which are common to bothA and B.

A ∩ C ∩ D = {3, 5, 7, 9, 11} ∩ {11, 13, 15} ∩ {15, 17}

{11} ∩ {15, 17} = Φ

**(iv) **To find, A ∩ C

The intersection of sets A and B is the set of all elements which are common to both A and B.

A ∩ C = {3, 5, 7, 9, 11} ∩ {11, 13, 15}

A ∩ C = {11}

**(v)** To find, B ∩ D

The intersection of sets A and B is the set of all elements which are common to both A and B.

B ∩ D = {7, 9, 11, 13} ∩ {15, 17}

B ∩ D = Φ

Answered by Pragya Singh | 1 year agoFind the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.