# How do you graph the inequality x + y < 4?

Mar 22, 2016

Graph and solve linear inequality.

#### Explanation:

x + y < 4
First, graph the Line x + y = 4 by its 2 intercept.
Make x = 0 --> y = 4
Make y = 0 --> x = 4
The solution set of the inequality is the area below the Line.
Check with the origin.
Replace x = 0 and y = 0 into the inequality, we get: -> 0 < 4.
It is true, then, O is inside the solution set. OK
graph{x+ y = 4 [-10, 10, -5, 5]}