# Graphing inequalities review

Review graphing inequalities with variables on number lines, and then try some practice problems.

## Inequalities

**Inequalities**show the relation between two expressions that are not equal.

Below are some examples of inequalities:

### Inequalities symbols

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

Greater than | |

$\underline>$ | Greater than or equal to |

Less than | |

$\underline<$ | Less than or equal to |

## Graphing inequalities with variables

We can use a number line to show the possible to solutions to an inequality.

**Example 1:**

When we have an inequality like , we do not know what equals, but we know it is a value

**greater than .**We can show this on a number line by putting an open circle on and shading the numbers that are greater than .

**Example 2: $y\ \underline<\ 3$**

If we have either the $\underline>$ or $\underline<$ symbol in our inequality, we shade in the circle to show that the variable may be equal to that number.

For example, $y\ \underline<\ 3$ is graphed as follows:

This number line show that

**is either equal to or less than .***Want to learn more about graphing inequalities? Check out this video.*

## Practice

*Want to try more problems like this? Check out these exercises:*

Inequality from graph

Plotting inequalities