Question

What is the graph of the system `y>2x-2` and `-2x-y<=6`?

Answer 1

graph{-2x - 6 [-10, 10, -5, 5]}
(1) `y > 2x - 2`

(2) `y >= -2x - 6.`

First, draw the line y = 2x - 2. The solution set is the area above this line.
Next, graph the line y = -2x - 6. The solution set is the area above this line. The line is also included in the solution set.

The combined solution set of the system is the commonly shared area. graph{2x - 2 [-10, 10, -5, 5]}