Solving Absolute Value Equations and Inequalities.

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Presentation transcript:

Solving Absolute Value Equations and Inequalities

Solving Absolute Value Equations 1. Isolate the Absolute value 2. Set up two equations -positive equation -negative equation 3. Solve both equations 4. Check for extraneous solutions

Extraneous solution: a solution of an equation derived from an original equation that is not a solution of the original equation

Solving Absolute Value Inequalities 1. Solve the inequality as an equation 2. Split number line using answers 3. Use a test point on each interval 4. Write solution in interval notation