How do you graph #y>3x+2# and #y<-2x+12#?

1 Answer
Jul 11, 2015

Graph system:
(1) y > 3x + 2
(2) y < -2x + 12

Explanation:

First graph Line (1) -> y = 3x + 2.
The solution set of inequality (1) is the area above this line. Shade or color it.
Next, graph the Line (2) -> y = - 2x + 12.
The solution set of the inequality (2) is the area below this Line (2). Color or shade it.
The compound solution set is the commonly shared area.
graph{3x + 2 [-10, 10, -5, 5]}
graph{-2x + 12 [-10, 10, -5, 5]}