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Absolute Value Inequalities - Problem 5

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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

Always isolate the absolute value part of an expression as your first step in solving an absolute value equation or inequality. If the absolute value part is greater than a negative value, then you have "all real solutions," because any x value will keep the absolute value positive, and that will always be greater than a negative value. If the absolute value part is less than a negative, then you'll have no solutions, because a positive distance will never be less than a negative value.

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