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Assignment:

1­­>L5.4, pg. 306 ­ 307, #2­22 evens ­ Due Monday (12/12)
2­­>L5.5, pg. pg. 312­313, 2­34 (evens) ­ Due Monday (12/12) 
3­­>Chapter 5 Test ­ Thursday (12/15)




                                                                1
Lesson 5.4 WarmUp:
Solve each inequality.
1) ­8  +  4a  <  6a

2)   2y  +  11  >  24y

3)   2x  +  11  <  5x  ­  10

4)   18  ­  3(8c  +  4)  >  ­6(4c  ­  1)

5)   46  <  8m  ­  4(2m  +  5)




                                           2
Lesson 5.4:

*FYI...some rides at Six Flags have minimum and maximum heights for 
riders...
     must be at least 52 inches:        h > 52
     cannot be taller than 72 inches:   h < 72

SO...this would be shown as:   52 < h < 72

                      This is called a COMPOUND INEQUALITY!

*A compound inequality containing and is only true if both inequalities 
are true.  This is called the intersection of the 2 graphs.
          ie...  x >  3  and  x < 7   would be:




                                                                           3
*A compound inequality containing or is only true if both inequalities are 
true.  This is called the union of the 2 graphs.
          ie...  x >  2  or  x < ­1   would be:




                                                                              4
Lesson 5.4 examples:
Solve each compound inequality.  Then graph the solution set.
A) 4 < p  ­  8  and p  ­  14  <  2




B)   4a  +  7  >  31  or a > 5




                                                                5
Write a compound inequality for each graph.  
C)

       ­10   ­9   ­8   ­7   ­6   ­5 ­4    ­3    ­2    ­1   0       1       2       3       4       5       6       7       8       9    10




D)
      ­10    ­9   ­8   ­7   ­6   ­5 ­4   ­3    ­2    ­1    0   1       2       3       4       5       6       7       8       9       10




E)
      ­10    ­9   ­8   ­7   ­6   ­5 ­4   ­3    ­2    ­1    0   1       2       3       4       5       6       7       8       9       10




                                                                                                                                             6

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8th Alg - Lesson 5.4