Answer :

(i) It is given in the question that,

A = {3, 5, 7, 9, 11}

And,

∴

A∩B will give the members of set A and B that are common. Therefore,

(ii) It is given in the question that,

B = {7, 9, 11, 13}

And,

∴

Intersection of two sets give the members of set that are common to both sets.(iii) It is given in the question that,

A = {3, 5, 7, 9, 11}

And, D = {15, 17}

∴

As there are no members of sets that are common, the intersection of A, B and C will be a null set.(iv) It is given in the question that,

A = {3, 5, 7, 9, 11}

And,

∴

Only 11 is common to sets A and C. Therefore,= {11}

(v) It is given in the question that,

B = {7, 9, 11, 13}

And, D = {15, 17}

∴

No member of set B is common with set D, Therefore intersection of B and D will be a null set.(vi) It is given in the question that,

A = {3, 5, 7, 9, 11}

B = {7, 9, 11, 13}

And,

∴

B U C will give all the members of both sets combined and not replicating the common members of the set.After that intersection of set A and B U C is calculated as the members that are common to these two sets.

= {7, 9, 11}

(vii) It is given in the question that,

A = {3, 5, 7, 9, 11}

And, D = {15, 17}

∴

No member of the two sets is common, therefore the intersection of these two sets will be a null set.(viii) It is given in the question that,

A = {3, 5, 7, 9, 11}

B = (7, 9, 11, 13}

And, D = {15, 17}

∴

= {7, 9, 11}

(ix) It is given in the question that,

A = {3, 5, 7, 9, 11}

B = (7, 9, 11, 13}

And,

∴

= {7, 9, 11}

(x) It is given in the question that,

A = {3, 5, 7, 9, 11}

B = (7, 9, 11, 13}

And, D = {15, 17}

∴

Calculate A U B and B U C first and then intersection of these two sets is calculated.= {7, 9, 11, 15}

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