Answer
$-5 \lt x \lt 1$
Refer to the image below for the graph.
Work Step by Step
Subtract $4$ to each part of the inequality:
$\begin{array}{ccccc}
&-1-4 &\lt &x+4-4 &\lt &5-4
\\&-5 &\lt &x &\lt &1\end{array}$
To graph the inequality, plot a hole at $-5$ and $1$, then shade the region in between them.