Final answer:
To find the solution region for a system of linear inequalities, graph each inequality and find the overlapping region. The correct region satisfies both inequalities. Without seeing the actual graph, we can't pinpoint the solution, but the method involves identifying the region above one line and below the other or otherwise as specified.
Step-by-step explanation:
The question is about identifying the solution region of a system of inequalities. When graphing inequalities on a coordinate plane, each inequality divides the plane into two regions: one that satisfies the inequality and one that does not. The inequality with a 'greater than' sign represents the region above the line, while the 'less than' sign represents the region below the line.
In the case of two linear inequalities y > -x + 5 and y < x - 1, we need to simultaneously satisfy both conditions. This means that the solution to the system is found in the region where the two individual solutions overlap. As an example, imagine graphing both lines on the same coordinate plane and shading the area above the line for y > -x + 5 and the area below the line for y < x - 1; the overlapping shaded region would represent the solution.
Without the actual graph, we cannot determine whether region A, B, or C contains the solution. However, we know that region A would be the correct solution if it's above the line of y = -x + 5 and below the line of y = x - 1. Region B would be the correct solution if it's above both lines, and region C would be the correct solution if it's below both lines.