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 transcript:

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

2 Examples Of Polynomial And Rational Inequalities Polynomial InequalitiesRational Inequalities

3

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:

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

7 The Related Graph

Solve the inequality, and graph the solution set.

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

11 The Related Graph

and at which f is undefined.

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

15 The Related Graph

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

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

19 The Related Graph

20 End of Section 5.4