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

(i) All the elements of this set are natural numbers as well as the divisors of 6. Therefore, (i) matches with (c).

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(ii) It can be seen that 2 and 3 are prime numbers. They are also the divisors of 6. Therefore, (ii) matches with (a).

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(iii) All the elements of this set are letters of the word MATHEMATICS. Therefore, (iii) matches with (d).

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(iv) All the elements of this set are odd natural numbers less than 10. Therefore, (iv) matches with (b).