Solving Absolute Value Inequalities

You know how to find absolute values and you know how to solve inequalities — but what happens when these two concepts are in the same problem? A YouTube video first reviews absolute values and moves on to solving absolute value inequalities. All inequalities contain linear expressions in the absolute value bars.

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CCSS: Designed
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Instructional Ideas
  • If using in classroom, provide the class with cloze notes that can be filled in while watching the video
  • Pause the video to allow viewers to solve the given inequalities before watching the solution
Classroom Considerations
  • The video only covers how to solve absolute value inequalities; the narrator indicates that a separate video covers graphing solutions to such inequalities
Pros
  • Examples begin with simpler equations and progress to more difficult equations
  • Samples include both "and" and "or" cases
Cons
  • F-IF.7b includes graphing absolute value functions (in the coordinate plane), but the video is about solving and graphing absolute value equations (on a number line)
  • Treatment of subject matter is superficial and procedural with little conceptual understanding, such as flipping the inequality and changing the sign without explaining why this yields a solution