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Home » Inequalities

# Solving and Graphing Inequalities

## Solving and Graphing Inequalities

## The following math sentences are equalities:

## Definition of Inequality

## Inequality Math Sentences

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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** (the "or equal to" part is indicated by the line underneath of the > symbol)

__<__**less than or equal to** (the "or equal to" part is indicated by the line underneath of the < symbol)

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.

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