# Graphing inequalities review

CCSS Math: 6.EE.B.8
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:
$9>7$
$6\ \underline< \ a+2$
$x<5$

### Inequalities symbols

SymbolMeaning
$>$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 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: $y\ \underline<\ 3$
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 shows that $y$ is either equal to $3$ or less than $3$.