Which points are solutions to the system of inequalities y 2x y 8 x 2?

To determine the solutions to the system of inequalities ( y < 2x ) and ( y > 8 - x^2 ), we need to analyze the regions defined by these inequalities. The first inequality represents the area below the line ( y = 2x ), while the second represents the area above the parabola ( y = 8 - x^2 ). Solutions to the system are points where the area below the line intersects with the area above the parabola. For example, points like (0, 7) and (1, 5) satisfy both inequalities and are solutions to the system.