Question

Write the system of linear inequalities whose solution is graphed.

(picture attached) =)

Answer 1

Does the solid line mean the shaded area includes the line?

Answer 2

Yupp!

Answer 3

In Q4 there the shaded area is contained within three lines.
These three lines are defined by the following linear equations:

y=2x-4 -----(L1)
y=4 -----(L2)
y=-2x-4 -----(L3)

The shaded portion lies above the lines L1 & L3 and below the line L2.
So the associated inequalities are:

y >= 2x-4
y <= 4
y >= -2x-4