Question

State whether the following statement is True or False

$A=\{x|xϵR,x^2=-9\}$ is Null Set

• A. True
• B. False

Answer 1

The correct option is A True

We have to state whether the statement "$A=\{x|x\in R,x^2=-9\}$ is null set" is true or not.
Given $A=\{x|x\in R,x^2=-9\}$
The square of any number is always a positive number. So there is no such $x$ such that $x^2=-9$
$\therefore A=\left\{\varphi \right\}$ which is a null set.
Hence $A$ is a null set.
The given statement is true.