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

Graph the two lines and apply the inequalities as shown in the figure.
The shaded area is the solution region.

Anyone can me with these answers

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