Solving Absolute Value Equations and Inequalities.

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Presentation transcript:

Solving Absolute Value Equations and Inequalities

Absolute value: the distance a number is from zero Ex.

Evaluating an absolute value function Ex.

Ex.

Solving Absolute Value Equations 1. Isolate the Absolute value 2. Solve it twice -positive equation -negative equation

Ex. Positive Negative

Ex. PositiveNegative

Solving Absolute Value Inequalities Same steps 1. Isolate absolute value 2. Solve twice -positive equation -negative equation (flipped inequality) 3. Solution is a compound inequality