1. **State the problem:** Identify the inequality that matches the graph with open circles at -3 and 0, and arrows extending left from -3 and right from 0. 2. **Analyze the graph:** - Open circles at -3 and 0 mean these points are not included in the solution. - Arrows extending left from -3 indicate $x < -3$. - Arrows extending right from 0 indicate $x > 0$. 3. **Write the inequality:** The solution is all $x$ such that $x < -3$ or $x > 0$. 4. **Check other options:** - $x \leq -3$ or $0 \leq x$ includes the points -3 and 0, which is incorrect because the circles are open. - $0 > x > -3$ means $x$ is between -3 and 0, which contradicts the arrows. - $-3 \geq x \leq 0$ is not a valid inequality and does not match the graph. **Final answer:** $$x < -3 \text{ or } x > 0$$