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Absolute Value Inequality Graphs in Two Variables - Problem 4

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

To graph an absolute value inequality, start by pretending like the inequality sign was an equals sign and graph the "v" shape as you would have a regular equation. Then, if the inequality is < or >, you'll need to make your "v" dashed lines. If the inequality is <= or >= , you can leave your lines as solid lines. Your last job is going to be to shade either inside or outside the "v"- the shaded region needs to represent the area of the graph where the solution, or "true" points are. Pick any test point that is not on the v and plug in those x and y values to test the inequality. If you get a true inequality, then shade where that point was- if you get a false inequality, then shade away from that test point.

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