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Absolute Value Equations - Problem 7

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

If you need to solve an absolute value equation, isolate the absolute value and look at what the constant is. If the constant is negative, then there will be no solutions (because a distance from zero could never be negative), if the constant is zero, then there is only one solution, and if the constant is positive, there will be two solutions. If you have access to technology, you could use two equations to see how many times they intersect- the first would be y = absolute value expression, and the second would be y = constant.

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