6. Absolute Value Equations and Inequalities
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Can the absolute value of a number be negative?
No solution.
Before we can solve this equation, we need to isolate the absolute value expression using the Properties of Equality.
An absolute value measures an expression's distance from a midpoint on a number line. Since distance cannot be negative, the absolute value of a number cannot be negative. | 4-8b|= - 12 An absolute value cannot be equal to -12, so this equation has no solution.