To graph an inequality on a number line, we need to make note of two things: the direction of the inequality and whether it is strict.
x > 4
Observing the given inequality, we see that x is all values greater than 4. This means that the solution set lies to the right of 4 on a number line. Furthermore, the inequality symbol indicates that x=4 is not a solution, which we will mark with an open circle on the number line at 4.