1. **Problem:** Which number line correctly represents the solution of the inequality $x \geq -2$? 2. **Understanding the inequality:** The inequality $x \geq -2$ means all values of $x$ that are greater than or equal to $-2$. 3. **Key points:** - The symbol $\geq$ means "greater than or equal to". - The number $-2$ is included in the solution set, so the point at $-2$ should be a **closed circle** (indicating inclusion). - The shading should be to the **right** of $-2$ because $x$ is greater than or equal to $-2$. 4. **Analyzing options:** - A: Open circle at $-2$, shaded left (incorrect because circle should be closed and shading is wrong). - B: Open circle at $-2$, shaded right (incorrect because circle should be closed). - C: Closed circle at $-2$, shaded right (correct). - D: Closed circle at $-2$, shaded left (incorrect shading). **Final answer:** Option C.