1. The problem asks to identify the inequality that matches the graph described. 2. The graph shows a vertical line at $x = -7$ with shading to the left of the line, indicating all $x$ values less than or equal to $-7$. 3. The two options are: a. $x \geq -7$ (values greater than or equal to $-7$) b. $x \leq -7$ (values less than or equal to $-7$) 4. Since the shaded region is to the left of the line $x = -7$, it corresponds to $x \leq -7$. 5. Therefore, the inequality matching the graph is: $$x \leq -7$$ This means all $x$ values less than or equal to $-7$ satisfy the inequality, matching the shaded region on the graph.