Describe the following sets in Roster form:
{ $x : x$ is a prime number which is a divisor of $60$ }

Open in App

Solution

${x : x is a prime number which is divisor of 60}$
L.C.M of $60 = 2 \times 2 \times 3 \times 5$
So, ${2, 3, 5}$

Suggest Corrections

Similar questions

x

\in

N : x

10 < x < 20

A = {x : x i s a n a t u r a l n u m b e r, 5 < x < 14}

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}

Describe the following sets in Roster form :

(i) {x : x is a letter before e in the English alphabet}.

(ii) { $x ϵ N : x^{2} < 25$ }

(iii) { $x ϵ N$ : x is a prime number, 10 < x < 20}.

(iv) $x ϵ N : x = 2 n, n ϵ N$ .

(v) $x ϵ R : x > x$ .

(vi) {x : x is a prime number which is a divisor of 60}

(vii) {x : x ix a two digit number such that the sum of its digits is 8}.

(viii) The set of all letters in the word ' Trigonometry'.

(ix) The set of all letters in the word 'Better'.

Join BYJU'S Learning Program