Inequality
Rational Inequality
                x ­ 1 
                              <0
           (x ­ 2)(x + 3)

1. Place critical n...
10
                                                                                 8   9
­10                             ...
Solve:    x2 ­ 2x ­ 8   >
                        _   0
            x ­ 1
10
                                                                                 8   9
­10                             ...
1
 x
        >
            x + 2
x ­ 3
10
                                                                                 8   9
­10                             ...
Absolute Value Inequality
                      Graph  y =   x
Graph y = x
What will graph of 
Graph y = x + 5
                   y =   x + 5    look like? 
<
        _   5
x ­ 2
Solve algebraically           <
                              _   5
                      x ­ 2
x
    +1   _
         <3
2
x
                          +1
Solve algebraically            _
                               <3
                      2
Exercise 28

questions  6  ­  12
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Rational Inequality Apr 20 09

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Rational Inequality Apr 20 09

  1. 1. Inequality
  2. 2. Rational Inequality x ­ 1  <0 (x ­ 2)(x + 3) 1. Place critical numbers on a number line Critical Numbers:  the zeros, and the values that make the  inequality undefined. 
  3. 3. 10 8 9 ­10 ­2 ­1 0 1 2 ­9 ­8 ­7 ­6 ­5 ­4 ­3 3 4 5 6 7
  4. 4. Solve:  x2 ­ 2x ­ 8 > _ 0 x ­ 1
  5. 5. 10 8 9 ­10 ­2 ­1 0 1 2 ­9 ­8 ­7 ­6 ­5 ­4 ­3 3 4 5 6 7
  6. 6. 1 x > x + 2 x ­ 3
  7. 7. 10 8 9 ­10 ­2 ­1 0 1 2 ­9 ­8 ­7 ­6 ­5 ­4 ­3 3 4 5 6 7
  8. 8. Absolute Value Inequality Graph  y =   x Graph y = x
  9. 9. What will graph of  Graph y = x + 5  y =   x + 5    look like? 
  10. 10. < _ 5 x ­ 2
  11. 11. Solve algebraically < _ 5 x ­ 2
  12. 12. x +1 _ <3 2
  13. 13. x +1 Solve algebraically _ <3 2
  14. 14. Exercise 28 questions  6  ­  12

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