The graph illustrates the feasible region (Part A) where points like (0, 1) satisfy both inequalities. Conversely, Parts B, C, and D depict infeasible regions, such as (1, 0) in Part B, failing to satisfy either y < -x + 1 or y > x + 2.
The graph that best represents the solution to the system of inequalities y < -x + 1 = y + 2 > x is the one shown in the image.
Part A: This is the feasible region for the system of inequalities, meaning that any point in this area satisfies both inequalities. For example, the point (0, 1) is in Part A and it satisfies y < -x + 1 and y > x + 2.
Part B, C, and D: These are the infeasible regions for the system of inequalities, meaning that any point in these areas does not satisfy both inequalities. For example, the point (1, 0) is in Part B and it does not satisfy y < -x + 1 or y > x + 2.
Complete question:
Which graph best represents the solution to the system of inequalities
y < -x + 1 = y + 2 > x