Solving Compound Inequalities

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Examples, worksheets, solutions, and activities to help Algebra 1 students learn how to solve compound inequalities.

Compound Inequalities
In mathematics, it can be useful to limit the solution or even have multiple solutions for an inequality. For this we use compound inequalities which are inequalities with multiple inequality signs. When solving compound inequalities, we use some of the same methods used in solving multi-step inequalities.

Solving and Graphing Compound Inequalities

Compound Inequalities

Compound Inequality
Students learn that when solving a combined inequality “or” means “union”, or everything that’s mentioned in the two inequalities. And when solving a combined inequality “and” means “intersection”, or only what’s in common to the two inequalities.
So when graphing a combined inequality, the first step is to graph the inequalities above the number line, then combine them on the number line based on “or” (bring everything down to the number line) or “and” (only bring down the parts where the graphs overlap).

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