*Last week in Pre-calculus was the 11th week. Sorry for the one-week delay*.

One thing that I’ve learned is solving linear inequalities in one variable.

Overall, this topic should be quite straightforward. You just need to be careful of your signs (+/-) and the inequality that you need to use.

First of all, since we’re only solving in one variable, we don’t need to use the x-y graph, just a number line would be fine.

These are all the inequality signs that we’re going to use:

Keep in mind that if you graph them on the number line, there’s a slight difference between **greater/less than** *and ***greater/less than or equal**…

If you graph an inequality with greater than or less than signs, the number that it’s based on is **NOT **shaded or part of the solutions.

On the other hand, if you graph it with greater than or equal or less than or equal signs, the number it’s based on **IS **shaded or part of the solutions…

(greater/less than – left) (greater/less than or equal – right)

NOTE: keep in mind that if you **DIVIDE** or **MULTIPLY** by a **NEGATIVE**, the inequality sign must be** SWITCHED**! *check example 2!!*

Examples: