Section 1-5: Absolute Value Equations and Inequalities Goal 2.08: Use equations and inequalities with absolute value to model and solve problems; justify.

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Presentation transcript:

Section 1-5: Absolute Value Equations and Inequalities Goal 2.08: Use equations and inequalities with absolute value to model and solve problems; justify results. a) Solve using tables, graphs, and algebraic properties.

Essential Question How do I solve absolute value equations and inequalities?

Solving Absolute Value Equations Treat absolute value bars as grouping symbols Follow order of operations Definition of absolute value – If then

Examples Solve for y Solve for x

Extraneous Solution An extraneous solution is a solution of an equation derived from an original equation, that is NOT a solution of the original equation. Example.

Absolute Value Inequalities Let k represent a positive real number… is equivalent to or *Greator is equivalent to and Less Thand

Examples Solve for x

Classwork P. 37 #34-66 All

Homework P. 38 Section 1-5 #73-83