Write true (T) or false (F) for the following statement: For an i… - Vidyadip

Question

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

✓

Answer

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

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