1. The problem asks to write down the two inequalities describing the unshaded region on the graph. 2. The first line is solid with equation $y = 2x + 1$. Since the shaded region is below this line, the unshaded region is above it, so the inequality is: $$y > 2x + 1$$ 3. The second line is dashed with equation $y = -x + 6$. The shaded region is above this line, so the unshaded region is below it, giving the inequality: $$y < -x + 6$$ 4. Therefore, the two inequalities describing the unshaded region are: $$\boxed{y > 2x + 1 \text{ and } y < -x + 6}$$ These inequalities represent the region above the first line and below the second line, matching the unshaded area on the graph.