Inequalities are expressions which indicate when a variable is:

- greater than another
- greater than or equal to another
- less than another
- less than or equal to another

Symbol | Meaning |
---|---|

< | is less than, so 2 < 5 is a true statement |

> | is more than, so 6 > 4 is a true statement |

is less than or equal to, so 2 5 is true and so is 2 2. | |

is more than or equal to, so 6 4 is true and so is 6 6. |

An expression such as is similar to the equation . However, this time we are looking for numbers which if you multiply by 3, then subtract 7, you get an answer of less than 8.

Unlike , which has just one answer, there are lots of numbers for which this is true (in fact, an infinite number). So our answer is not a number, but a range of numbers.

Solve inequations just like equations: what you do to one side, you must do to the other.

Solve the equation

- Question
Solve the inequation