Match the roster form with set builder form.

(i) {1, 2, 3, 6}

(ii) {2, 3}

(iii) {M, A, T, H, E, I, C, S}

(iv) {1, 3, 5, 7, 9}

(a) {x : x is prime number and a divisor of 6}

(b) {x : x is an odd natural number smaller than 10}

(c) {x : x is a natural number and divisor of 6}

(d) {x : x is a letter of the word MATHEMATICS}

Let us consider the set builder forms.

(a) {x : x is prime number and a divisor of 6}

⇒ Prime factorization of 6 = 2 × 3

where 2 and 3 are prime numbers.

∴ Roster form = {2, 3} … (ii)

(b) {x : x is an odd natural number smaller than 10}

Odd natural numbers smaller than 10 = 1, 3, 5, 7, 9

∴ Roster form = {1, 3, 5, 7, 9} … (iv)

(c) {x : x is a natural number and divisor of 6}

⇒ Factors of 6 are 1, 2, 3 and 6.

∴ Roster form = {1, 2, 3, 6} … (i)

(d) {x : x is a letter of the word MATHEMATICS}

∴ Roster form = {M, A, T, H, E, I, C, S} … (iii)