Question

State which of the following are null or empty sets?

$\left\{Evennumberwhichareprime\right\}$

Answer 1

A set that contains no member is called the empty set or null set. It is represented by $\left\{\right\}$ or $\varphi$.

Given set:

$\left\{Evennumberwhichareprime\right\}$

A number is said to be prime number if it has only two factors $1$ and itself.

Prime numbers are $2,3,5,7,11,13,.........$

The only even number which is prime is $\left\{2\right\}$ and the set contains $1$ element.

Hence, the set $\left\{Evennumberwhichareprime\right\}$ is not a null or empty set.