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Chapter: 9th Maths : UNIT 1 : Set Language

Exercise 1.3: Set Operations

Maths : Set Language : Book Back, Exercise, Example Numerical Question with Answers, Solution : Exercise 1.3: Set Operations

Exercise 1.3

1. Using the given Venn diagram, write the elements of


(i) A (ii) B (iii) AB (iv) A∩B (v) A–B (vi) B–A (vii) A′ (viii) B′ (ix) U



2. Find AB, AB, A–B and BA for the following sets.

(i) A = {2, 6, 10, 14} and B={2, 5, 14, 16}

(ii) A = {a, b, c, e, u} and B={a, e, i, o, u}

(iii) A = {x : x N, x ≤ 10} and B={x : x W, x < 6}

(iv) A = Set of all letters in the word “mathematics” and

B = Set of all letters in the word “geometry”



3. If U={a, b, c, d, e, f, g, h}, A={b, d, f, h} and B={a, d, e, h}, find the following sets.

(i) A (ii) B (iii) AB (iv) A′∩B (v) (AB) (vi) (AB) (vii) (A) (viii) (B)



4. Let U={0, 1, 2, 3, 4, 5, 6, 7}, A={1, 3, 5, 7} and B={0, 2, 3, 5, 7}, find the following sets.

(i) A (ii) B (iii) AB (iv)A′∩B ( v)(AB) (vi) (AB) (vii) (A) (viii) (B)



5. Find the symmetric difference between the following sets.

(i) P = {2, 3, 5, 7, 11} and Q={1, 3, 5, 11}

(ii) R = {l, m, n, o, p} and S = {j, l, n, q}

(iii) X = {5, 6, 7} and Y={5, 7, 9, 10}



6. Using the set symbols, write down the expressions for the shaded region in the following




7. Let A and B be two overlapping sets and the universal set be U. Draw appropriate Venn diagram for each of the following,

(i) AB (ii) AB (iii) (AB) (iv) (BA) (v) AB (vi) A′∩B (vii) What do you observe from the Venn diagram (iii) and (v)?



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