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Lesson 5­5.notebook                                January 03, 2013


            Lesson 5.5:
            *Consider |x|  <  3

                  x  <  3 and x > ­3

                          So the graph would be:


            **Consider |x|  >  3

                  x > 3 or x < ­3

                          So the graph would be:




                                                                      1
Lesson 5­5.notebook                        January 03, 2013


             SO.... 
                          |x|  <  a

                      x  <  a and x > ­a


             And...           
                          |x|  >  a

                      x > a or x < ­a




                                                              2
Lesson 5­5.notebook                                                January 03, 2013

            Lesson 5.5 examples:
            Solve each inequality.  Then graph the solution set.
            A) |n  ­  8|  <  2




            B)    |2x  ­  5|  <  ­3




                                                                                      3
Lesson 5­5.notebook               January 03, 2013


            C) |2k  +  1|  >  7




            D) |r  ­  6|  >  5




                                                     4
Lesson 5­5.notebook                   January 03, 2013


             E) |2h  ­  3|  >  ­4




             F)   |7c  +  3 |  <  5
                      2




                                                         5

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Lesson 5.5 Absolute Value Inequalities

  • 1. Lesson 5­5.notebook January 03, 2013 Lesson 5.5: *Consider |x|  <  3 x  <  3 and x > ­3 So the graph would be: **Consider |x|  >  3 x > 3 or x < ­3 So the graph would be: 1
  • 2. Lesson 5­5.notebook January 03, 2013 SO....  |x|  <  a x  <  a and x > ­a And...     |x|  >  a x > a or x < ­a 2
  • 3. Lesson 5­5.notebook January 03, 2013 Lesson 5.5 examples: Solve each inequality.  Then graph the solution set. A) |n  ­  8|  <  2 B) |2x  ­  5|  <  ­3 3
  • 4. Lesson 5­5.notebook January 03, 2013 C) |2k  +  1|  >  7 D) |r  ­  6|  >  5 4
  • 5. Lesson 5­5.notebook January 03, 2013 E) |2h  ­  3|  >  ­4 F) |7c  +  3 |  <  5 2 5