Question

For $m^2>m^3$, $m$ is a ____ integer.

• A. positive
• B. negative
• C. non-positive
• D. non-negative

Answer 1

The correct option is B negative

Given $m^2>m^3$,
If $m$ is a positive integer , then $m^2$ will always be less than $m^3$ .
If $m$ = 0, then 0 can not be greater than 0.
If $m$ is a negative integer, then $m^3$ will always be a negative number number and $m^2$ will be a positive integer.

So, the given inequality will be true, when $m$ is a negative integer.
The correct option is B.