Chapter 1 - Equations and Inequalities - 1.7 Inequalities - 1.7 Exercises - Page 160: 55

$(-5,3]$

Step 1. Identify the boundary points as $x=-5$ and $x=3$ Step 2. Use test points at $x=-6, 0, 4$, the signs of the left side are $+, -, +$ Step 3. The inequality requires negative (middle region, exclude $x=-5$), thus the solution interval is $(-5,3]$