Overview
On this page, we review methods to solve linear inequalities, as well as compound and tripartite linear inequalities.
Basic Learning Objectives
These are the tasks you should be able to perform with reasonable fluency when you arrive at your next class meeting. Important new vocabulary words are indicated in italics.
- Solve a linear inquality by using the same steps as you would to solve a linear equation, but realize that multiplying or dividing both sides by a negative number will flip the inequality sign.
Advanced Learning Objectives
In addition to mastering the basic objectives, here are the tasks you should be able to perform after class, with practice:
- Solve a compound inequality by solving each of its parts, then combining the solutions by union or intersection.
- Solve a tripartite inequality by performing simultaneous operations on all three parts of the inequality.
To prepare for class
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Watch the following video (by Tyler Wallace) which explains how to solve a linear inequality:
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Watch the following video (by PatrickJMT) which show three examples of solving linear inequalities:
After class
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Watch the following videos (by Tyler Wallace) which show examples of solving compound inequalities:
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Watch the following videos (by Tyler Wallace) which show examples of solving tripartite inequalities: