Question

Express each of the following sets in set-builder notation (form):

(ii) $\{2,3,5,7,11,13,\dots \}$

Answer 1

Step: Expressing the given set in set-builder form

In set builder method the actual elements of the set are not written, but a rule or a statement or a formula is written in the briefest possible way.

$\text{Given set}=2,3,5,7,11,13,\dots$

Here 2, 3, 5, 7, 11, 13 are all prime numbers.

So, we can see that the elements of given set are prime numbers.

Hence, the set builder form of the given set is $\{x:x\text{is a prime number}\}$.