Answer:
y ≥ x - 2 and x + 2y < 4
Step-by-step explanation:
There are two lines graphed.
The dotted line passes through (0,2) and (4,0), then:
slope (m): (0 - 2)/(4 - 0) = -1/2
y-intercept (b): 2
equation:
y = mx + b
y = -1/2x + 2
multiplying by 2 at both sides, we get
2y = -x + 4
x + 2y = 4
The inequality is x + 2y < 4 because points below this line are shaded and points on the line are not included.
The solid line passes through (0,-2) and (2,0), then:
slope (m): (0 - (-2))/(2 - 0) = 1
y-intercept (b): -2
equation:
y = x - 2
The inequality is y ≥ x - 2 because points above this line are shaded and points on the line are included.
