1. The problem asks to write down the two inequalities that describe the unshaded region on the graph. 2. The graph shows two lines: - A solid line with equation $y = x + 1$ - A dashed line with equation $y = -x + 6$ 3. The unshaded region is above the solid line and below the dashed line. 4. Since the solid line is included in the shaded region, the unshaded region is strictly above it, so the inequality is: $$y > x + 1$$ 5. Since the dashed line is not included in the shaded region, the unshaded region is strictly below it, so the inequality is: $$y < -x + 6$$ 6. Therefore, the two inequalities describing the unshaded region are: $$y > x + 1$$ $$y < -x + 6$$