2.6 Solving Inequalities Algebraically and （2.6解决代数和不平等）.pdfVIP

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2.6 Solving Inequalities Algebraically and （2.6解决代数和不平等）.pdf

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2.6 Solving Inequalities Algebraically and （2.6解决代数和不平等）

333371_0206.qxp 1/23/07 8:20 AM Page 219 Section 2.6 Solving Inequalities Algebraically and Graphically 219 2.6 Solving Inequalities Algebraically and Graphically Properties of Inequalities What you should learn Use properties of inequalities to solve Simple inequalities were reviewed in Section P.1. There, the inequality symbols linear inequalities. , ≤, , and ≥ were used to compare two numbers and to denote subsets of real Solve inequalities involving absolute numbers. For instance, the simple inequality x ≥ 3 denotes all real numbers x values. that are greater than or equal to 3. Solve polynomial inequalities. In this section, you will study inequalities that contain more involved state- Solve rational inequalities. ments such as Use inequalities to model and solve real-life problems. 5x 7 3x 9 and 3 ≤ 6x 1 3. Why you should learn it As with an equation, you solve an inequality in