How do you graph the inequality 10x-8<22 on the coordinate plane?

1 Answer
Aug 16, 2017

See a solution process below:

Explanation:

First, solve the inequality for x:

10x - 8 < 22

10x - 8 + color(red)(8) < 22 + color(red)(8)

10x - 0 < 30

10x < 30

(10x)/color(red)(10) < 30/color(red)(10)

(color(red)(cancel(color(black)(10)))x)/cancel(color(red)(10)) < 3

x < 3

We can now graph this by drawing a vertical line at the point 3 on the x axis. The line will be dashes because this is a **"less than"88 inequality so does not contain the point 3 as part of the solution.

We will shade to the left of the line because, again, this is a "less than" inequality.

graph{x < 3}