The correct ansnwer is A
Explanation:
To determine the graph that shows the solution to the system of linear inequalities y > -2x + 2 and y < 2x - 1, we need to plot the boundary lines for each inequality and shade the appropriate region based on the inequality signs.
1. y > -2x + 2:
To plot this inequality, we can start by plotting the line y = -2x + 2. This line has a slope of -2 and a y-intercept of 2. We draw this line as a dashed line since the inequality sign is "greater than" (>), and we shade the region above the line.
2. y < 2x - 1:
For this inequality, we can plot the line y = 2x - 1. This line has a slope of 2 and a y-intercept of -1. We draw this line as a dashed line since the inequality sign is "less than" (<), and we shade the region below the line.
The graph that shows the solution to this system of linear inequalities will be the shaded region that satisfies both inequalities. It will be the region that is above the line y = -2x + 2 and below the line y = 2x - 1.
Without specific graphs or options provided, I cannot determine the exact graph that represents this solution. However, you can visualize the solution by graphing the two lines and shading the appropriate region based on the inequality signs.