1. **State the problem:** We need to find which pair of inequalities matches the graph described. 2. **Analyze the graph:** The graph shows two dashed lines: - Line 1: slope $-3$, y-intercept $4$, dashed, shading above the line. - Line 2: slope $\frac{1}{2}$, y-intercept $-4$, dashed, shading below the line. 3. **Write inequalities from the graph:** - For Line 1, dashed means strict inequality, shading above means $y > -3x + 4$. - For Line 2, dashed means strict inequality, shading below means $y < \frac{1}{2}x - 4$. 4. **Match with options:** - Option 1: $y \geq \frac{2}{5}x - 7$ and $y > x + 3$ (no match) - Option 2: $y > x + 3$ and $y \geq \frac{2}{5}x - 7$ (no match) - Option 3: $y \geq \frac{5}{2}x - 7$ and $y > -x + 3$ (no match) - Option 4 (partial): $y > \frac{5}{2}x - 7$ and $y \geq -x + 3$ (no match) None of the given options exactly match the inequalities $y > -3x + 4$ and $y < \frac{1}{2}x - 4$. **Final answer:** The correct inequalities for the graph are: $$ y > -3x + 4 $$ $$ y < \frac{1}{2}x - 4 $$ These inequalities are not among the provided options.