Which graph represents the solution to the system of inequalities? y ≥ x - 5 y < - x + 4

We want to solve the system of inequalities

y ≥ x - 5

y < - x + 4

The line y = x - 5 has

slope = 1

y-intercept = - 5

x-intercept: x - 5 = 0 = > x = 5

The line y = - x + 4 has

slope = - 1

y-intercept = 4

x-intercept: - x + 4 = 0 = > x = 4

Answer:

Graph the two lines and apply the inequalities as shown in the figure.

The shaded area is the solution region.