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Graphing inequalities review

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


Inequalities show the relation between two expressions that are not equal.
Below are some examples of inequalities:
6 < a+2

Inequalities symbols

>Greater than
>Greater than or equal to
<Less than
<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 < 3
If we have either the > or < symbol in our inequality, we shade in the circle to show that the variable may be equal to that number.
For example, y < 3 is graphed as follows:
This number line shows that y is either equal to 3 or less than 3.
Want to learn more about graphing inequalities? Check out this video.


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

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

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