Question
Write true $(T)$ or false $(F)$ for the following statement:
For an integer $a$, $a^3$ is always greater than $a^2$.

Answer

It is not true for a negative integer.
Example:
$(-5)^2 = 25;(-5)^3$
$= -125$
$\Rightarrow(-5)^3<(-5)^2$

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