Question

State whether the following statements are true or false. Give reasons for your answers.
For any real number $x,x^2\ge 0$.

• A. True
• B. False

Answer 1

The correct option is A True

The square of any real number is always positive.

Let $x$ be a positive real number. We can see $x^2\ge 0$ as $x\times x\ge 0$

If $x$ is negative real number, then, $(-x)(-x)=xx=x^2\ge 0$

So, the statement is aways TRUE.