Answer
$[-5,-2]U[\frac{4}{3},\infty)$
Work Step by Step
Step 1. Solve the equation and identify the boundary points at $x=-5, -2, \frac{4}{3}$
Step 2. Plot the above points on a number line and obtain four intervals $(-\infty,-5],[-5,-2],[-2,\frac{4}{3}],[\frac{4}{3},\infty)$
Step 3. Choose test values at $x=-6, -3, 0,2$ for each interval and test the inequality. The results are $F, T, F,T$ (T for True, F for False) for each interval.
Step 4. The solutions are the intervals with true results: $[-5,-2]U[\frac{4}{3},\infty)$