# Describe the following sets in Roster form:

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

Answer

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Hint: In order to solve this question we must know the roaster form of sets. In roaster form the elements of a set are listed, the elements are being separated by commas and are enclosed within braces { }.

Complete step-by-step answer:

The statement given is x is a prime number which is a divisor of 60.

Prime number is a number which has only two factors 1 and the number itself.

We have to make a set which is in roaster form.

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

L.C.M 0of 60=2×2×3×5

So the prime numbers which are divisors of 60 are 2,3,5.

So, {2,3,5} is the set in the roaster form.

Note – Whenever you face such types of problems of converting a statement into roster form, firstly obtain the elements of the set from the statement provided then write every element separated by commas in curly braces. Doing this will take you to the right solution.

Complete step-by-step answer:

The statement given is x is a prime number which is a divisor of 60.

Prime number is a number which has only two factors 1 and the number itself.

We have to make a set which is in roaster form.

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

L.C.M 0of 60=2×2×3×5

So the prime numbers which are divisors of 60 are 2,3,5.

So, {2,3,5} is the set in the roaster form.

Note – Whenever you face such types of problems of converting a statement into roster form, firstly obtain the elements of the set from the statement provided then write every element separated by commas in curly braces. Doing this will take you to the right solution.

Last updated date: 29th Sep 2023

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