Answer
$(-\frac{7}{2},\frac{11}{9})U(\frac{8}{3},\infty)$
Work Step by Step
Step 1. Identify the boundary points as $x=-\frac{7}{2},\frac{11}{9},\frac{8}{3}$
Step 2. Use test points at $x=-4,0,2,3$, the signs of the left side rational are $-,+,-,+$
Step 3. The inequality is true for positive (2nd and 4th regions), thus the solutions are $(-\frac{7}{2},\frac{11}{9})U(\frac{8}{3},\infty)$