Question: 3. Which inequality is graphed on the number line? Values of x a. $x \leq -3$ b. $x \geq -3$ c. $x < -3$ d. $x > -3$ e. $x = -3$

1. **Problem:** Identify the inequality graphed on a number line with an open circle at $-3$ and a shaded ray extending to the right. 2. **Understanding the graph:** - An open circle at $-3$ means $x$ is not equal to $-3$. - A shaded ray extending to the right means $x$ is greater than $-3$. 3. **Inequality options:** - $x \leq -3$ means $x$ is less than or equal to $-3$ (closed circle, left shading). - $x \geq -3$ means $x$ is greater than or equal to $-3$ (closed circle, right shading). - $x < -3$ means $x$ is less than $-3$ (open circle, left shading). - $x > -3$ means $x$ is greater than $-3$ (open circle, right shading). - $x = -3$ means only the point $-3$ (closed circle). 4. **Conclusion:** The graph shows an open circle at $-3$ and shading to the right, so the inequality is: $$x > -3$$ **Final answer:** d. $x > -3$