Answer
$(-1,4)$
See graph.
Work Step by Step
Step 1. $x^2-3x-4\lt0 \Longrightarrow (x+1)(x-4)\lt0$, identify boundary points as $x=-1,4$.
Step 2. Form intervals $(-\infty,-1),(-1,4),(4,\infty)$.
Step 3. Choose test values for each 1interval $x=-2,0,5$.
Step 4. Test the inequality to get results: $False,\ True,\ False$
Step 5. We have the solution $(-1,4)$
Step 6. See graph.
