108 Chapter 1 Linear Equations and Inequalities in One Variable Interval I Interval II Interval III : : Test w 5: Test w 0 Test w 4 031 7 52 1 0 4 6 ? 01 0 7 4 6 ? 7 14 4 6 ? 7 False 3 6 ? Step 4: Because the original inequality is a strict inequality, the boundary points (where equality occurs) are not included. False True False 5w0 3 2. 4 6 w 6 10 The solution is or, equivalently in interval notation, Skill Practice Solve the inequality. 8. 6 0 0 3t 4 10 Solving an Absolute Value Inequality by the Test Point Method Solve the inequality by using the test point method. Solution: Write the inequality with the absolute value on the left. Isolate the absolute value. Step 1: Solve the related equation. Write as two equations. These are the boundary points. Step 2: Plot the boundary points. Step 3: Select a test point from each interval. 1 2 t 5 2 1 2 t 3 3 1 ` 1 1 ` 1 2 2 t 5 ` t 5 ` 3 t 5 ` 2 t 5 ` 2 t 14 or t 6 1 2 t 7 or ` 1 2 ` 1 2 1 2 t 5 2 or 3 1 ` 1 2 t 5 ` Example 6 14, 10 3 6 9 6 ? 10 6 ? 7 False 7 True 13 4 6 ? 7 14 6 ? 7 013 0 4 6 ? 0 14 6 0 4 ? 7 7 03142 1 0 4 6 ? 03102 7 1 0 4 6 ? 7 ( ( 5 6 6 5 4 3 2 1 0 1 2 3 4 10 3 Answer 8. c 0, 8 3 d Step 3: Select a test point from each interval. 5 6 65 4 3 2 1 0 1 2 3 4 Interval I Interval II Interval III 6 14
miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above