#### Answer

Refer to the image below for the graph.

#### Work Step by Step

The solutions of $x \gt5$ are all real numbers that are greater than 5.
These numbers are graphed on a number line by shading all points to the right of 5.
To graph this inequality, plot a hollow dot (or a hole) at x=5. (Alternatively, an parentheses may be used instead of a hollow dot.)
Then, shade the numbers to the right of x=5.
(refer to the attached image in the answer part)