Question

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

 For an integer a, a³ is always greater than a².

Answer 1

False
It is not true for a negative integer. Example: 

\[\left( - 5 \right)^2 = 25; \left( - 5 \right)^3 = - 125 \Rightarrow \left( - 5 \right)^3 < \left( - 5 \right)^2\]