# Q. State true or false:for any integer $\inline m,m^{2}< m^{3}.$ Why?

D Devendra Khairwa

The detailed solution for the above-written question is as follows.

False.

$m^2 < m^3$

or           $0 < m^3 - m^2$

or          $m^3 - m^2>0$

or         $m^2\left ( m-1 \right )>0$

Now put any number less than 1, we see that this relation doesn't hold.

So for m<1 this condition is not true.

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