Question

Answer, whether the following statements are true or false. Give reasons.

If $A=\text{{}x:x\text{is an even prime number}}$, then set $A$ is empty.

Answer 1

Step : State true or false for the given set

Given:
$A=\text{{}x:x\text{is an even prime number}}$
We know that 2 is a number which is both even and prime and an empty set does not have any element in it.
Therefore, $A=\text{{2}}$ is not an empty set
Hence, the given statement is false.