The inequality is
.
Add
to each side.

Cubing on each side.
\
Subtract
from each side.

Divide each side by negative
and flip the symbol.
.
Since the each side of the equation was raised to a power,
\check a solution in the original inequality.
\Check:
\Substitute
in
.

Since the above statement is true, the solution set is
.
The solution set is
.