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Course: 6th grade > Unit 7
Lesson 7: Intro to inequalities with variables- Testing solutions to inequalities
- Testing solutions to inequalities (basic)
- Plotting inequalities
- Plotting an inequality example
- Graphing basic inequalities
- Inequality from graph
- Plotting inequalities
- Inequalities word problems
- Inequalities word problems
- Graphing inequalities review
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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:
Inequalities symbols
Symbol | Meaning |
---|---|
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:
An inequality like tells us that can be any value greater than .
We can show this on a number line by putting an open circle on and shading the numbers that are greater than .
Example 2:
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, is graphed as follows:
This number line shows that is either equal to or less than .
Want to learn more about graphing inequalities? Check out this video.
Practice
Want to try more problems like this? Check out these exercises:
Inequality from graph
Plotting inequalities
Inequality from graph
Plotting inequalities