Q. State true or false:

for any integer m,m^{2}< m^{3}. Why?

Answers (1)

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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