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}

(ii) {2, 3} (b)

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

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

Asked by Abhisek | 1 year ago |  105

##### Solution :-

(i) Given that,

{1, 2, 3, 6}

To match the roaster form in the left with the set builder form in the right In roaster form, the order in which the elements are listed is immaterial.

In set builder form, all the elements of a set possess a single common property which is not possessed by any element outside the set.

It has been observed from the set that these set of numbers are the set of natural numbers which are also the divisors of 6.

Thus, {1, 2, 3, 6} = {x: x is a prime number and a divisor of 6} is the correct option which is option (c).

(ii) Given that,

{2, 3}

To match the roaster form in the left with the set builder form in the right In roaster form, the order in which the elements are listed is immaterial.

In set builder form, all the elements of a set possess a single common property which is not possessed by any element outside the set.

It has been observed from the set that these set of numbers are the set of prime numbers which are also the divisors of 6

Thus, {2, 3} = {x: x is a prime number and a divisor of 6} is the correct option which is option (a)

(iii) Given that,

{M, A, T, H, E, I, C, S}

To match the roaster form in the left with the set builder form in the right In roaster form, the order in which the elements are listed is immaterial.

In set builder form, all the elements of a set possess a single common property which is not possessed by any element outside the set.

It has been observed from the set of these letters of word MATHEMATICS.

Thus, {M, A, T, H, E, I, C, S} = {x: x is a aletter of the word MATHEMATICS} is the correct option which is option (d)

(iv) Given that,

{1, 3, 5, 7, 9}

To match the roaster form in the left with the set builder form in the right In roaster form, the order in which the elements are listed is immaterial.

In set builder form, all the elements of a set possess a single common property which is not possessed by any element outside the set.

It has been observed from the set that these set of numbers are the set of odd numbers that are less than 10.

Thus,{1, 3, 5, 7, 9}  = {x: x is an odd natural number less than 10} is the correct option which is option (b)

Answered by Abhisek | 1 year ago

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