Question

State whether the given set is finite or infinite.

$\left\{x:x\text{is a prime number less than 10}\right\}$

Answer 1

Finite Sets: A set that contains limited number of elements is called a finite set. Here, all the elements can be counted.

Let the given set be A, we have

$\text{A =}\left\{2,3,5,7\right\}$ which has $4$ elements which is countable.

Hence, the given set is finite.