Chap4 Section4

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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406 Chapter 4 Absolute Value Functions Version: Fall 2007 19. | 13 2 x | ≤ 7 20. | 2 x + 15 | ≤ 7 21. | 3 x 11 | > 0 22. | 4 x + 19 | ≤ 0 For each of the inequalities in Exercises 23 - 32 , provide a purely algebraic solution without the use of a calculator. Show all of your work that leads to the solu- tion, shade your solution set on a num- ber line, then use set-builder and interval notation (if possible) to describe your so- lution set. 23. | 4 x + 3 | < 8 24. | 3 x 5 | > 11 25. | 2 x 3 | ≤ 10 26. | 3 5 x | ≥ 15 27. | 3 x 4 | < 7 28. | 5 2 x | > 10 29. | 3 7 x | ≥ 5 30. | 2 11 x | ≤ 6 31. | x + 2 | ≥ − 3 32. | x + 5 | < 4 For each of the inequalities in Exercises 33 - 38 , perform each of the following tasks. i. Arrange each of the following parts on your homework paper in the same location. Do not do place the alge- braic work on one page and the graph- ical work on another. ii. Follow each of the directions given for Exercises 11 - 22 to find and record a solution with your graphing calcu- lator. iii. Provide a purely algebraic solution, showing all the steps of your work.
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