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1 6.4 Absolute Value Equations and Inequalities How do I solve and graph absolute value equations and inequalities? Recap: What is an absolute value?

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6.4 Absolute Value Equations and InequalitiesHow do I solve and graph absolute value 

equations and inequalities?

Recap: What is an absolute value?

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Graph the problems by guessing and checking

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How many answers do absolute value equations have?

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Where is there two?

Can there be only one?

Could there be no solutions?

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Substitute the number given in for the variable, simplify, is it a true or false statement?

How to determine if a value is a solution?

Example Determine if 2 is a solution.

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How to solve absolute value equations

1. make sure the absolute value bars are isolated 2. make two equations one positive one negative3. solve both equations4. x can equal one or the other

Example

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Entry Slip

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What is the difference between a less than and a greater than absolute value?

How many answers do absolute value inequalities have?

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Write the inequality

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Graph the problems by guessing and checking

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Can there be only one number as a solution?

Could there be no solutions?

Could there be all reals?

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How to solve absolute value Inequalities

1. make sure the absolute value bars are isolated 2. make two equations one positive one negative (you need to flip the inequality sign when making it negative)3. solve both inequalities4. write your answer either with or between them or as one inequality5. Graph your solutions

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Example

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|5x­3|>­3

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