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)