Answer
$(-3,0)U(1,\infty)$
Work Step by Step
Step 1.Factor and identify boundary points (zeros) $x(x-1)(x+3)\gt0$ as $x=-3,0,1$ which divide the x-axis into four intervals $(-\infty,-3),(-3,0),(0,1),(1,\infty)$
Step 2. Choose test values in each interval $x=-4,-1,0.5,2$ and test the inequality to get $False,\ True, \ False, \ True$
Step 3. Thus the solution intervals are $(-3,0)U(1,\infty)$
