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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}

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Solution

The left column represents each set in roster form and right column represents each set in set-builder form.

(i)

{ 1,2,3,6 } shows the set of elements divisible by 6 .So, (i) matches with (c).

(ii)

{ 2,3 } shows the set of elements which are prime numbers as well as divisible by 6 .

So, (ii) matches with (a).

(iii)

{ M,A,T,H,E,I,C,S } shows the set of different letters of the word MATHEMATICS.

So, (iii) matches with (d).

(iv)

{ 1,3,5,7,9 } shows the set of old natural numbers less than 10 .

So, (iv) matches with (b).


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