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Quadratic 




             Inequalities
Quadratic Inequality



  2 ways to solve: 
     1 ­ graph the inequality and find the region

     2 ­ use quot;signquot; diagram to find solution
Solve by graphing:
 1. Graph the inequality using the same rules for the
     boundary line as used with linear inequalities

 2. Test one point on each side of the boundary line to
     determine the range that is true for the inequality.

3. Shade in the range
Sign Diagram

1. Determine the zeros of the function and place them on
    a number line.

2. Use open circles for > or <


3. Use solid circles for      or    
4. Test one value of x for each interval determined by 
    the zeros

5. Determine the intervals for which values are true
    for the inequality



                                                                                           10
                                                                                   8   9
  ­10                                    ­2   ­1   0   1   2
        ­9   ­8   ­7   ­6   ­5 ­4   ­3                         3   4   5   6   7
x2 + x + 1 > 0
10
                                                                                 8   9
­10                                    ­2   ­1   0   1   2
      ­9   ­8   ­7   ­6   ­5 ­4   ­3                         3   4   5   6   7
10
                                                                                 8   9
­10                                    ­2   ­1   0   1   2
      ­9   ­8   ­7   ­6   ­5 ­4   ­3                         3   4   5   6   7
Exercise  28



   Questions   1-3

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Quad Inequal Apr 17 09