Making Algebra easier for you!

If you are beginning your study of inequalities, I have a lot of lessons for you to study. As you check them out below, make sure you start right here on this page for a quick introduction to basic inequalities.

- Solving Inequalities in One Variable
- Solving Inequalities Practice Problems
- Solving Inequalities in One Variable - Word Problems
- Solving Inequalities Word Problems Practice Problems
- Compound Inequalities Introduction
- Solving and Graphing Conjunction Compound Inequalities ("And" inequalities)
- Solving and Graphing Disjunction Compound Inequalities ("Or" inequalities)
- Graphing Linear Inequalities
- Graphing Inequalities Practice Problems
- Solving Systems of Inequalities
- Graphing Systems of Inequalities Practice Problems
- Systems of Inequalities Word Problems
- Systems of Inequalities Word Problems Practice Problems

So... what is an **inequality**? That's definitely not a term that we use everyday.

Let's break this word down, so that we really understand it. The term **equal**ity means that something is equal **(=)**.
Our previous unit on solving equations dealt with equalities. In this
case, your math sentence would contain a simple equal sign.

3+5 = 8

x + 2 = 10

x + y = 9

So... let's think about what the prefix **in** means in **in**equality. The prefix **in** means "not". So, an **inequality** means **"not equal"**. Can you think of other signs in math that you've used besides an equals sign?

Yes, if something is not equal, then it is greater than (>) or less than (<).

**Inequality**: Not equal

We use the following symbols to show that a math sentence is not equal:

**<** **less than**

**>** **greater than**

__>__**greater than or equal to**

__<__**less than or equal to**

Let's take a look at a few examples of simple inequality math sentences.

**2 < 3** Read as: *2 is less than 3*

**x > 8** Read as: *x is greater than 8*

**y > 8** Read as:

**z < -12** Read as:

**3 < x < 15** Read as: *3 is less than x and x is less than 15*

This is just the beginning. There's so much to learn when studying inequalities. I've broken it down into simple, easy to understand lessons.

Make sure you take a look at all of the inequality lessons (above) that you can find on Algebra-class.com. For most lessons, you'll even find an extra set of practice problems so that you can try a few on your own.

Need More Help With Your Algebra Studies?

Get access to hundreds of video examples and practice problems with your subscription!

Click here for more information on our affordable subscription options.

Not ready to subscribe? Register for our FREE Pre-Algebra Refresher and Solving Equations Unit!

## Comments

We would love to hear what you have to say about this page!