Question

Write true (T) or false (F) for the following statement:

If a and b are integers such that a² > b², then a³ > b³.

Answer 1

False
It is not true for negative integers. Example: 

\[\left( - 5 \right)^2 > \left( - 4 \right)^2 \text{ but }  \left( - 5 \right)^3 < \left( - 4 \right)^3\]