Question

If $x^2\ge 0$ which of the following may be true for x?

• A. x>0
• B. x<0
• C. x = 0
• D. None of these

Answer 1

Answer: (A), (B), (C)

The correct options are
A

x>0

B

x<0

C

x = 0

Square of a number is always a positive number. It doesn't matter whether the number is negative or positive. So, if $x^2$ > 0, then x > 0 or x < 0 but since in question $x^2\ge 0$ is given, $x^2=0$ has to be considered too, which means x = 0.