Question

State whether the given set is finite or infinite.

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

Answer 1

Infinite Sets: A set that contains unlimited(uncountable) number of elements is called an infinite set. Here, elements of the set cannot be counted.

Let C be the given set, we have

$\text{C =}\left\{2,3,5,7,11.....\right\}$ which cannot be counted and is uncountable.

Hence, the given set is infinite.