Write true ( T ) or false ( F ) for the following statement: If a… - Vidyadip

Question

Write true ( T ) or false ( F ) for the following statement:
If $a$ and $b$ are integers such that $a^2>b^2$, then $a^3>b^3$.

✓

Answer

False.
Solution:
It is not true for negative integers.
Example:
$(-5)^2 > (-4)^2$ but $(-5)^3<(-4)^3$

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