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}.

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}.

Filo · Accepted Answer

Solution: Divisors of 6 are 1,2,3,6. All these are natural numbers. So,

(i)

will match to

(c)

.
Out of these only 2 and 3 are prime numbers. So,

(i i)

will match to

(a)

.

(i i i)

will match to

(d)

.1,3,5,7 and 9 all are odd numbers and less than 10. So,

(i v)

will match to

(b)

.

Question Text	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 Type	Text solution:1
Upvotes	150

Text solutionVerified

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