# 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, is greater than, 7
$6\ \underline< \ a+2$
x, is less than, 5

### Inequalities symbols

SymbolMeaning
is greater thanGreater than
$\underline>$Greater than or equal to
is less thanLess 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: x, is greater than, 4
When we have an inequality like x, is greater than, 4, we do not know what x equals, but we know it is a 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 show that y is either equal to 3 or less than 3.

## Practice

Problem 1
Choose the inequality that represents the following graph.
Please choose from one of the following options.

Want to try more problems like this? Check out these exercises:
Inequality from graph
Plotting inequalities