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File: Rational Inequalities Examples With Answers Pdf 176278 | 7 Rational Inequalities Sy18
december 1 2017 3 7 solving polynomial and rational inequalities for more complicated inequalities it is often useful to use a sign diagram steps for solving polynomial and rational inequalities ...

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                                                        December 1, 2017
               3.7 - Solving Polynomial and Rational 
               Inequalities
             For more complicated inequalities, it is often useful to use a sign diagram.
             Steps for solving polynomial and rational inequalities:
             1.  Identify any real undefined values.
             2.  Rewrite inequality so one side is 0.
             3.  Find the real zeroes of the inequality from step 2.
             4.  Create a sign diagram using the zeroes and undefined values.  Be sure to label 
             points with open or closed circles 
               Remember only zeroes can be closed circles, and only if the inequality is 
               allowed to be equal to zero.  Holes and Vertical Asymptotes must be open 
               circles.
             5.  Test each interval with the inequality from step 2 (or use of multiplicity rules) to 
             determine which intervals provide solutions to the inequality.
                                            December 1, 2017
          Example 1:  Solve the inequality.  Write your answers in inequality and interval notation.
                                       December 1, 2017
                                       December 1, 2017
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...December solving polynomial and rational inequalities for more complicated it is often useful to use a sign diagram steps identify any real undefined values rewrite inequality so one side find the zeroes of from step create using be sure label points with open or closed circles remember only can if allowed equal zero holes vertical asymptotes must test each interval multiplicity rules determine which intervals provide solutions example solve write your answers in notation...

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