1. **State the problem:** You want to graph the system of inequalities: $$y < 2$$ $$x \geq -3$$ $$y < -x + 3$$ and determine the correct shading. 2. **Understand each inequality:** - $y < 2$ means shade below the horizontal line $y=2$ (not including the line). - $x \geq -3$ means shade to the right of the vertical line $x=-3$ (including the line). - $y < -x + 3$ means shade below the line $y = -x + 3$ (not including the line). 3. **Graphing rules:** - Solid line means the inequality includes equality ($\geq$ or $\leq$). - Dashed line means strict inequality ($>$ or $<$). - Shade the region that satisfies the inequality. 4. **Check your graph:** - You have a solid vertical line at $x=-3$ with shading to the right, which is correct for $x \geq -3$. - You have a dashed line for $y = -x + 3$ with shading below, which is correct for $y < -x + 3$. - You need to also include the horizontal line $y=2$ as a dashed line and shade below it. 5. **Final shading:** The solution region is where all three shaded areas overlap: - To the right of $x=-3$ - Below $y=2$ - Below $y = -x + 3$ If your graph shows this overlapping region correctly, then you are shading correctly. **Summary:** Yes, your graph is correct if the vertical line at $x=-3$ is solid with shading to the right, the line $y = -x + 3$ is dashed with shading below, and the line $y=2$ is dashed with shading below. The solution is the intersection of these shaded regions.