If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

## MAP Recommended Practice

### Course: MAP Recommended Practice>Unit 17

Lesson 27: Intro to inequalities with variables

# 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:
$9>7$
$x<5$

### Inequalities symbols

SymbolMeaning
$>$Greater than
$\underset{―}{>}$Greater than or equal to
$<$Less than
$\underset{―}{<}$Less than or equal to

## Graphing inequalities with variables

We can use a number line to show the possible solutions to an inequality.
Example 1: $x>4$
An inequality like $x>4$ tells us that $x$ can be any value greater than $4$.
We can show this on a number line by putting an open circle on $4$ and shading the numbers that are greater than $4$.
Example 2:
If we have either the $\underset{―}{>}$ or $\underset{―}{<}$ symbol in our inequality, we shade in the circle to show that the variable may be equal to that number.
For example, is graphed as follows:
This number line shows that $y$ is either equal to $3$ or less than $3$.