(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}.