Solving Absolute Value Equations

Overview

Goal. Solve absolute value equations by cases, and identify the equations that have no solution because a distance cannot be negative.

Absolute value (definition). The distance a number is from 0 on the number line. Distance is never negative.

Distance meaning, the two-case method, no-solution cases.

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Goal. Solve an absolute value equation by splitting it into two cases — the inside equal to the number, and the inside equal to its opposite.

Absolute value (definition). The distance a number is from 0 on the number line. Distance is never negative.