# Worksheet on Set Operations

Practice the set of questions provided in the worksheet on set operations. The questions are based on finding the union and intersections of the given sets.

1. Write down the union and intersection of the following pairs of sets:

(i) A = {1, 2, 3, 4, 5, 6}

B = {1, 3, 5, 7, 9}

(ii) X = {a, b, c, d, e}

Y = {c, e, f, g}

(iii) P = {x : x is a multiple of 2 between 9 and 21}

Q = {x : x is a multiple of 3 between 10 and 20}

(iv) M = {letters in the word ‘COMPUTER’}

N = {letters in the word ‘CALCULATOR’}

2. Let A = set of natural numbers less than 8,

B = {even natural numbers less than 12}

C = {Multiples of 3 between 5 and 15}

and    D = {Multiples of 4 greater than 6 and less than 20};

Find:

(i) B ∪ C

(ii) A ∪ D

(iii) C ∪ D

(iv) A ∩ C

(v) (B ∩ C) ∪ A

(v) (D ∪ A) ∩ B

(vii) (A ∩ C) ∪ (B ∩ D)

(viii) (B ∪ D) ∩ (C ∪ A)

Answers for the worksheet on set operations are given below to check the exact answers of the above questions.

1. (i) A ∪ B = {1, 2, 3, 4, 5, 6, 7, 9};

A ∩ B = {1, 3, 5}

(ii) X ∪ Y = {a, b, c, d, e, f, g}

X ∩ Y = {c, e}

(iii) P ∪ Q = {10, 12, 14, 15, 16, 18, 20}

P ∩ Q = {12, 18}

(iv) M ∪ N = {c, o, m, p, u, t, e, r, a, l}

M ∩ N = {c, u, t, o, r}

2. (i) {2,4, 6, 8, 9, 10, 12}

(ii) {1, 2, 3, 4, 5, 6, 7, 8, 12, 16}

(iii) {6, 8, 9, 12, 16}

(iv) {6}

(v) {1, 2, 3, 4, 5, 6, 7}

(vi) {2, 4, 6, 8}

(vii) {6, 8}

(viii) {2, 4, 6, 12}

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