How will the solution of the system y > 2x + and y 2x + ?

Answer:

The system of linear inequalities has no solution. Both equations have the same slope of -1, which means the boundary lines are parallel. Since the first inequality describes the region above the line $y = -x + 3$ and the second inequality describes the region below the line $y = -x - 2$, the shaded regions move in opposite directions and do not overlap. Because there are no points in common, the system has no solution.