Answer: e. x<2 a. y≤2 d. y≥-x+8
Step-by-step explanation:
They want you to describe each line and it's shaded area.
Note: Each line of the graph has a value of 2 because it goes from 0-10 and there are not 10 lines there are half as many so if you counted by 2s you can see each line is 2.
Purple: x<2
The purple dashed line is touching the x-axis at 2 so the equation of the line is x=2 But the left side is shaded so x < 2 The symbol is not ≤ because the line is dashed.
Green: y≤2
The green solid line is touching the y-axis at 2 so the equation of the line is y=2 But the bottom side is shaded so y ≤ 2 The symbol is ≤ because the line is solid.
Black: y≥-x+8
The black solid line is from y = mx + b. where m is your slope if you count your rise over run you see your slope is -1. b is your y-intercept, where it hits/intercepts the y axis. this happens at 8 so b = 8 Plug in m = -1 and b = 8 into formula. y = -x+8 But the upper side is shaded and it is solid so y ≥ -x+8
