#### Answer

Solution: $x \gt 7$
Refer to the image below for the graph.

#### Work Step by Step

Add 3 on both sides of the inequality to obtain:
$x \gt 4+3
\\x \gt 7$
The numbers greater than $7$ on a number line are to the right of $7$.
Thus, to graph the solution set on a number line, plot a hole (or hollow dot) at $x=7$ and shade the region to its right. (refer to the attached image in the answer part above)