Practice Solving Inequalities

How You Can (And Should) Get More Practice!

Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for you.

Work Out Video

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Practice Problems

Theoretically Easier Difficulty Problem

Isolate the variable on one side.
Don’t forget the algebra rules, in particular dividing or multiplying by a negative value flips the direction of the inequality.

Find all solutions to the inequality:

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Theoretically Harder Difficulty Problem

First move all the terms to one side of the inequality and factor it!
Once it is factored, you can use a sign chart to see where the function satisfies the inequality.

Find all solutions to the inequality:

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