Question

Write the set $C=\left\{2,3,5,7,11,13,17,19,23\right\}$ in set builder form.

Answer 1

In set builder method, we define a set by stating the properties satisfied by the elements.

If we consider the set $C$, the elements given are $2,3,5,7,11,13,17,19,23$, which are prime numbers up to $23$. They have only two factors , i.e., $1$ and the number itself.

Hence in set builder form, the given set will be represented as $C=\left\{x:xisaprimenumber,x\le 23\right\}$