Answer
The solution to the given inequality is:
$\color{blue}{\bf(-1, 4)}$
Refer to the graph below.
Work Step by Step
To solve the given inequality by graphing, treat each side of the inequality as a function.
Graph:
$y_1=x^2-3x$ (the red graph in the attached image below ) and
$y_2=4$. (the green graph in the attached image below)
The solution to the given inequality is the set of x values for which $y_1 \lt y_2$.
Notice that the graph shows that $y_1\lt y_2$ between $x=-1$ and $x=4$ (not including $-1$ and $4$).
Thus, the solution to the given inequality is:
$\color{blue}{\bf(-1, 4)}$
Graph the inequality by plotting hollow points (holes) at $x=-1$ and $x=4$, then shading the region between them.
(refer to the attached image in the answer part above for the graph)
