Question

Match each of the set on the left in the roster form with the same set on the right described in set-builder form :

(i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6}

(ii) {2, 3} (b) {x : x is an odd natural number less than 10}

(iii) {M, A, T, H, E, I, C, S} (c) {x : x is natural number and divisor of 6}

(iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}

Answer 1

The sets which are in set-builder form can be written as

(a) {x : x is a prime number and a divisor of 6} = {2, 3}

(b) {x : x is an odd natural number less than 10} = {1, 3, 5, 7, 9}

(c) {x : x is natural number and divisor of 6} = {1, 2, 3, 6}

(d) {x : x is a letter of the word MATHEMATICS} = {M, A, T, H, E, I, C, S}

Hence the matching is

$\left(i\right)⟷\left(c\right)$ $\left(ii\right)⟷\left(a\right)$

$\left(iii\right)⟷\left(d\right)$ $\left(iv\right)⟷\left(b\right)$