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Day 9 ­ Solving quadratic inequalities

                                                 2 
Solve for x using your calc:   4x ­ 9 > 0




                                                      1
Solving quadratic inequalities algebraically:
1.  Solve just like an equality.
2.  Plot the solutions on a number line.
3.  Take test points in each interval.
4.  Fill in the interval(s) that "work".
5.  Write the solution using interval notation.




                                                  2
Solve:   2x2 ­ 6x  <  5x ­ 5   Solving quadratic inequalities:

                               1.  Solve just like an equality.

                               2.  Plot the solutions on a number line.

                               3.  Take test points in each interval.

                               4.  Fill in the interval(s) that "work".

                               5.  Write the solution using interval notation.




                                                                                 3
2
Solve:   9x  ­ 2 > ­3x 



   2           2
2x + 4x < x  ­ x ­ 6


  2 
 x + x > 8 ­ x



                          4

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Algebra 2 Lesson 3-9