Final answer:
To find the solution to the system of inequalities, graph each inequality and determine the overlapping region.
Step-by-step explanation:
To find the solution to the system of inequalities, we need to determine the graph that represents the overlapping region for both inequalities. Let's start by graphing the first inequality, y > 2x - 3:
- Plot the y-intercept of -3 on the y-axis.
- Use the slope of 2 to determine additional points on the line.
- Draw a dashed line connecting the points, indicating that y is greater than the line.
Next, let's graph the second inequality, y ≤ x + 2:
- Plot the y-intercept of 2 on the y-axis.
- Use the slope of 1 to determine additional points on the line.
- Draw a solid line connecting the points, indicating that y is less than or equal to the line.
The solution to the system of inequalities is the shaded region where the two lines overlap.