# How do you graph the system y<x-1 and y<=2x+1?

Jul 9, 2015

Graph system
(1) y < x - 1
(2) y <= 2x + 1

#### Explanation:

First, graph the Line (1) -> y = x - 1.
The solution set of inequality (1) is the area below this line. Color or shade it.
Next, graph Line (2) -> y = 2x + 1.
The solution set of (2) is the area below the Line (2) that is included in the solution set. Color or shade it.
The compound solution set is the commonly shares area.
graph{x - 1 [-10, 10, -5, 5]}
graph{2x + 1 [-10, 10, -5, 5]}