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6.4 Absolute Value Equations and Inequ · PDF file absolute value Inequalities 1. make sure the absolute value bars are isolated 2. make two equations one positive one negative (you

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Text of 6.4 Absolute Value Equations and Inequ · PDF file absolute value Inequalities 1. make sure...

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    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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    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 negative 3. solve both equations 4. 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 inequalities 4. write your answer either with or  between them or as one inequality 5. Graph your solutions

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    Example

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    |5x­3|>­3

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    Page 1: Sep 28-5:57 PM Page 2: Sep 29-6:55 AM Page 3: Sep 28-5:57 PM Page 4: Sep 28-5:57 PM Page 5: Sep 28-5:57 PM Page 6: Sep 28-5:57 PM Page 7: Sep 29-6:59 AM Page 8: Sep 29-7:03 AM Page 9: Sep 29-7:01 AM Page 10: Sep 29-7:04 AM Page 11: Sep 29-6:59 AM Page 12: Sep 29-7:01 AM Page 13: Sep 29-7:02 AM Page 14: Sep 29-7:07 AM Page 15: Sep 29-7:06 AM Page 16: Sep 30-6:26 AM Page 17: Sep 30-6:26 AM Page 18: Sep 30-6:26 AM Page 19: Sep 30-6:27 AM Page 20: Sep 30-6:27 AM Page 21: Sep 30-6:27 AM Page 22: Sep 30-6:27 AM Page 23: Sep 30-6:28 AM Page 24: Sep 30-6:28 AM Page 25: Sep 30-6:28 AM Page 26: Sep 29-6:59 AM Page 27: Sep 29-7:05 AM Page 28: Sep 30-8:12 AM Page 29: Oct 1-7:32 AM Page 30: Sep 29-6:55 AM Page 31: Sep 28-5:57 PM Page 32: Sep 28-5:57 PM Page 33: Sep 30-8:12 AM Page 34: Sep 30-12:18 PM Page 35: Sep 30-12:19 PM Page 36: Sep 30-12:21 PM Page 37: Sep 30-12:19 PM Page 38: Sep 30-12:19 PM Page 39: Sep 30-12:19 PM Page 40: Sep 30-12:19 PM Page 41: Sep 30-12:19 PM Page 42: Sep 30-12:21 PM Page 43: Sep 30-12:23 PM Page 44: Sep 30-12:23 PM Page 45: Sep 30-12:23 PM Page 46: Sep 30-12:23 PM Page 47: Sep 30-12:23 PM Page 48: Sep 30-12:24 PM Page 49: Sep 30-12:24 PM Page 50: Sep 30-12:24 PM Page 51: Sep 30-12:24 PM Page 52: Sep 30-12:24 PM

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