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Absolute Value Inequalities - Problem 5

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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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