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>79>7
6 < a+26\ \underline< \ a+2
x<5x<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>4x>4
An inequality like x>4x>4 tells us that xx can be any value greater than 44.
We can show this on a number line by putting an open circle on 44 and shading the numbers that are greater than 44.
Example 2: y < 3y\ \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 < 3y\ \underline<\ 3 is graphed as follows:
This number line shows that yy is either equal to 33 or less than 33.
Want to learn more about graphing inequalities? Check out this video.

Practice

Problem 1
Choose the inequality that represents the following graph.
Choose 1 answer:
Choose 1 answer:

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