# Match each of the

(i) {-5, 5}

It can be seen that if we take the square of -5 and 5, the result will be 25

If x = -5, then (-5)2 = 25

If x = 5, then (5)2 = 25

and -5, 5 both are integers

So, {x : x Z and x2 = 25}

(i) matches (c)

(ii) {1, 2, 3, 6, 9, 18}

Divisor of 18 are

18 = 18 × 1

18 = 9 × 2

18 = 6 × 3

1, 2, 3, 6, 9, 18 are divisors of 18

So, {x : x N and x is a factor of 18}

(ii) matches (d)

(iii) {–3, –2, –1, 0, 1, 2, 3}

(-3)2 = 9 < 16

(-2)2 = 4 < 16

(-1)2 = 1 < 16

(0)2 = 0 < 16

(1)2 = 1 < 16

(2)2 = 4 < 16

(3)2 = 9 < 16

All are the given elements are integers and satisfying x2 < 16

So, (iii) matches (a)

(iv) {P, R, I, N, C, A, L}

There are 9 letters in the word PRINCIPAL out of which P and I are repeated.

So, {x : x is a letter in the word ‘PRINCIPAL’}

(iv) matches (e)

(v) {1}

Since, 1 N and (1)2 = 1

So, {x : x ϵ N and x2 = x}

(v) matches (b)

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