There are no real numbers that are simultaneously less than 3.5 and greater than 5.5. There is no solution. The solution set is 5 6. Skill Practice Solve the compound inequality. 9. 3.2y 2.4 7 16.8 and4.1y 8.2 Solving a Compound Inequality: And Solve the compound inequality. and Solution: 2 3 x 6 and Solve each inequality separately. and 5x 0 x 96 5x 0 x 7 26 Take the intersection of the solution sets: 5x 12, 2. 0 x 7 26 2 3 The solution set is ,or in interval notation, Skill Practice Solve the compound inequality. 10. 1 4 z 6 5 8 and 1 2 z 1 3 5x 0 x 7 26 x 9 x 7 2 3 2 a 2 3 xb 3 2 162 and 2a 1 2 xb 7 2112 1 2 x 6 x 6 1 1 2 x 6 1 Example 6 Answers 9. 5 6 10. 5z 0 z 2 46; 34, 109 8 7 6 5 4 3 2 1 0 1 2 3 ) 109 8 7 6 5 4 3 2 1 0 1 2 3 ) 109 8 7 6 54 3 2 1 0 1 2 3 3. Solving Inequalities of the Form a < x < b An inequality of the form a 6 x 6 b is a type of compound inequality, one that defines two simultaneous conditions on x. a x b a 6 x and x 6 b a 6 x 6 b The solution set to the compound inequality is the intersection of the solution sets to the inequalities a 6 x and x 6 b. Section 1.5 Compound Inequalities 89
miller_intermediate_algebra_4e_ch1_3
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