1. The problem is to understand and represent the inequality $w \geq -1 \frac{1}{2}$, which means $w$ is greater than or equal to $-1.5$. 2. The inequality $w \geq -1.5$ includes all values of $w$ starting from $-1.5$ and extending to positive infinity. 3. The key point is that the number line should show a closed circle at $-1.5$ to indicate that $-1.5$ is included (due to the \geq symbol). 4. The shading or arrow should point to the right from $-1.5$ to represent all values greater than $-1.5$. 5. Among the four graphs described, the top-right graph matches this description: it has a closed circle at $-1.5$ and an arrow pointing right. 6. Therefore, the correct graph for $w \geq -1 \frac{1}{2}$ is the top-right graph. Final answer: The inequality $w \geq -1.5$ is represented by a closed circle at $-1.5$ with shading to the right (top-right graph).