# 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}.

**Solution:**

**(i) **All the elements of this set are natural numbers as well as the divisors of 6.

**Therefore, (i) matches with (c).**

**(ii)** We see that 2 and 3 are prime numbers.

They are also the divisors of 6.

**Therefore, (ii) matches with (a).**

**(iii)** All the elements of this set are letters of the word MATHEMATICS.

**Therefore, (iii) matches with (d).**

**(iv)** All the elements of this set are odd natural numbers less than 10.

**Therefore, (iv) matches with (b).**

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.1 Question 6

## 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}

**Summary:**

We are asked to match each of the sets on the left in the roster form with the same set on the right described in set-builder form. We found that

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

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

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

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