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1 5.4 Polynomial and Rational Inequalities In this section, we will study the following topics: Solving polynomial inequalities Solving rational inequalities.

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Presentation on theme: "1 5.4 Polynomial and Rational Inequalities In this section, we will study the following topics: Solving polynomial inequalities Solving rational inequalities."— Presentation transcript:

1 1 5.4 Polynomial and Rational Inequalities In this section, we will study the following topics: Solving polynomial inequalities Solving rational inequalities

2 2 Examples Of Polynomial And Rational Inequalities Polynomial InequalitiesRational Inequalities

3 3

4 If the inequality symbol is ≤ or ≥, include the solutions of f(x)=0 in the solution set. We will use interval notation to indicate the solution to these inequalities. NOTE:

5

6 continued Thus, the solution set is ____________________________________. Graph of solution set:

7 7 The Related Graph

8

9 Solve the inequality, and graph the solution set.

10 continued Thus, the solution set is ____________________________________. Graph of solution set:

11 11 The Related Graph

12

13 and at which f is undefined.

14 continued Thus, the solution set is ____________________________________. Graph of solution set:

15 15 The Related Graph

16

17 Write the expression on left as a single fraction. and at which f is undefined.

18 continued Thus, the solution set is ____________________________________. Graph of solution set:

19 19 The Related Graph

20 20 End of Section 5.4


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