# How do you graph the system y> x-4 and 2x+y <= 2?

Jun 9, 2015

graph{x - 4 [-10, 10, -5, 5]} Graph system:

graph{-2x + 2 [-10, 10, -5, 5]}

(1) y > x - 4

(2)$y \le - 2 x + 2$

#### Explanation:

First graph the line y1 = x - 4.
The solution set of the inequality (1) is the area above the line. Color this area.

Next, graph the Line y2 = - 2x + 2. The solution set of the inequality (2) is the area below this line. Color this area

The combined solution set is the commonly shares area.