Overview
On this page, we discuss intervals and interval notation, and how they relate to 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.
- Graph the solution of an inequality in which the variable has been isolated on a number line.
- Translate an inequality with the variable isolated to interval notation, and vice-versa.
Advanced Learning Objectives
In addition to mastering the basic objectives, here are the tasks you should be able to perform after class, with practice:
- Determine the union and intersection of two overlapping intervals.
- Graph the solution of a compound inequality, and write it in interval notation.
To prepare for class
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Watch the following videos (by Tyler Wallace) which introduce inequalities and interval notation, and show how to translate between the two:
After class
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Watch the following video (by MathWOES) which shows an example of finding the union and intersection of two overlapping intervals:
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Watch the following video (by larryschmidt) which shows how to graph the solution of a compound inequality:
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Watch the following video (by The Organic Chemistry Tutor) which shows more examples of graphing inequalities, using interval notation, and compound inequalities: