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

##### 1 Answer

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]}