## Inequalities

### Equations: Learn

An *inequality* is very similar to an equation, but the answers
form a range of numbers that could work to make the equation true.

For example, the inequality x > 4 would be true for all x values which are larger than 4, such as 4.1, 5, 10000, and so on.

Solving an inequality is just like solving an equation, except there is one extra rule to remember: if you multiply or divide by a negative number, switch the direction of the inequality.

Here is an example that shows how inequalities can be solved just like equations.

8 | x | - | 2 | > | 14 |

+ | 2 | +2 | |||

8 | x | > | 16 | ||

÷ | 8 | ÷8 | |||

x | > | 2 |

And here is an example regarding the extra rule about switching the direction of the inequality when you multiply/divide by a negative.

-8 | x | - | 2 | > | 14 |

+ | 2 | +2 | |||

-8 | x | > | 16 | ||

÷ | (-8) | ÷(-8) | |||

x | < | 2 |

### Equations: Practice

#### Solve for x.

00:00

Note: click the inequality button to toggle the direction of the inequality.

If ,

then x |

Press the Start Button To Begin

You have
0
correct and
0
incorrect.

This is
0
percent correct.

### Play

Game Name | Description | Best Score |
---|---|---|

How many correct answers can you get in 60 seconds? | 0 | |

Extra time is awarded for each correct answer.
Play longer by getting more correct. |
0 | |

How fast can you get 20 more correct answers than wrong answers? | 999 |

### Explore

#### Math Lessons by Grade

#### Math Topics

- Addition
- Algebra
- Comparing
- Counting
- Decimals
- Division
- Equations
- Estimation and Mental Math
- Exponents
- Fractions
- Geometry
- Measurement
- Money
- Multiplication
- Naming Numbers
- Patterns
- Percents and Ratios
- Place Value
- Properties
- Statistics
- Subtraction