Answer
$(-2,5)$.
Work Step by Step
Step 1. Factor the inequality to get $(x-5)(x+2)\lt0$
Step 2. Identify the boundary points $x=-2,5$ which separate the number line into three intervals: $(-\infty,-2),(-2,5),(5,\infty)$
Step 3. For each interval, choose a test value and test the inequality, use $x=-3,0,6$ and we have the result as $False, True, False$.
Step 4. Thus the solution interval is $(-2,5)$.
