which graph represents the solution set of the inequality $-9 > x$?

Explanation:

Step1: Rewrite the inequality

Rewrite $-9 > x$ with the variable on the left side. $$x < -9$$

Step2: Determine the circle type

Since the inequality is strictly "less than" ($<$), use an open circle. $$\text{Open circle at } -9$$

Step3: Determine the shading direction

Values less than $-9$ are located to the left on the number line. $$\text{Shade to the left of } -9$$

Answer:

The first graph (an open circle at -9 with shading to the left).