10.7 Quadratic and Rational Inequalities What are your objectives for Section 10.7? How can you accomplish each objective? 1 Solve a Quadratic Inequality by Graphing • Know the defi nition of a quadratic inequality. • Review the procedure for Graphing Quadratic Functions Using the Vertex Formula. • Review interval notation, and understand the meanings of , , , and on a graph. • Complete the given example on your own. • Complete You Try 1. 2 Solve a Quadratic Inequality Using Test Points • Learn the procedure for How to Solve a Quadratic Inequality. • Review methods for solving quadratic equations. • Write solutions in interval notation and review that procedure, if needed. • Complete the given example on your own. • Complete You Try 2. 3 Solve Quadratic Inequalities with Special • Analyze the inequality carefully to determine if picking test points or graphing is necessary. • Complete the given example on your own. • Complete You Try 3. 4 Solve an Inequality of Higher Degree • Use the procedure for How to Solve a Quadratic Inequality. You may use more intervals and more test points. • Complete the given example on your own. • Complete You Try 4. 5 Solve a Rational Inequality • Know the defi nition of a rational inequality. • Learn the procedure for How to Solve a Rational Inequality. • Write the answer in interval notation. • Complete the given examples on your own. • Complete You Trys 5 and 6. Read the explanations, follow the examples, take notes, and complete the You Trys. In Chapter 3, we learned how to solve linear inequalities such as 3x 5 16. In this section, we will discuss how to solve quadratic and rational inequalities. Solutions 680 CHAPTER 10 Quadratic Equations and Functions www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
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