Absolute Value Inequalities Worksheet - PowerPoint by xal58286

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									   3.6 Absolute Value Equations and Inequalities
                 (Cont.) 12/2/08
• Solving Absolute Value Inequalities

  – To solve an inequality in the form | A | < b, where A
    is a variable expression and b > 0, solve
      -b < A < b.

  – To solve an inequality in the form | A | > b, where A
    is a variable expression and b > 0, solve
      A < -b or A > b.

  – Similar rules are true for | A | ≤ b or | A | ≥ b.
  Solving an Absolute Value Inequality
• Solve | v – 3 | ≥ 4.



   v – 3 ≤ -4                 v–3≥4
     + 3 +3                    + 3 +3
     v ≤ -1                    v≥7

So, v ≤ -1 OR v ≥ 7.


      -7   -5   -3   -1   1    3   5    7   9
  Solving an Absolute Value Inequality
• Solve | x + 3 | < 5.

-5<x+3<5
  -5 < x + 3                       x+3<5
  -3     - 3                        - 3 -3
    -8 < x                           x <2

So, -8 < x < 2.


        -10   -8   -6    -4   -2     0   2   4   6   8   10
          More Practice!!!!
• Textbook – p. 170 # 24 – 34 even, 38 – 50
  even.
• Homework – Finish worksheet 3.6

								
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