**Intro**

An **inequality** is a mathematical sentence that uses the <, ≤, >, ≥, or ≠ symbol to compare the values of two expressions. You will learn to recognize word phrases that indicate an inequality. For example, *is fewer than* indicates the symbol <.

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

< |
less than |

≤ |
less than or equal to |

> |
greater than |

≥ |
greater than or equal to |

≠ |
not equal to |

A **solution of an inequality** is any value of the variable that makes the inequality true. The **Solution Set** contains all of the numbers that satisfy an inequality. You can use a number line graph to indicate all of the solutions of an inequality with one variable.

The solutions of the inequality *x*<3 are all numbers less than 3.

The solutions of the inequality *x* ≤ 3 are all numbers less than 3 or equal to 3.