1. **State the problem:** We need to write a compound inequality that describes the graph. 2. **Analyze the graph:** There are two filled circles at $-7$ and $-2$. - The circle at $-7$ has a green arrow extending to the left, covering all values less than or equal to $-7$. - The circle at $-2$ has a green arrow extending to the right, covering all values greater than or equal to $-2$. 3. **Write inequalities for each part:** - For the left part: $x \leq -7$ - For the right part: $x \geq -2$ 4. **Combine the inequalities:** Since the graph shows two separate regions, the compound inequality uses "or": $$x \leq -7 \text{ or } x \geq -2$$ 5. **Final answer:** The compound inequality describing the graph is: $$x \leq -7 \text{ or } x \geq -2$$