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

(i) All the elements of this set are natural number as well as the divisors of

6.

Therefore, (i) matches with (c).
(ii) It can be seen 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).

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

(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 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:
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

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