126 Chapter 1 Linear Equations and Inequalities in One Variable For Exercises 19–21, solve the inequalities. Graph the solution and write the solution set in interval notation. 19. 20. 21. x 8 7 42 x 6 x 3 2 6 3x 1 5 3 2 For Exercises 22–32, solve the compound and absolute value inequalities. Write the answers in interval notation. 22. 23. 24. 25. 26. 27. 2 3x 1 5 4 6 2x 5 6 2 3 5 x 1 8 or 2 3 x 16 2x 3 7 3 and x 3 0 5x 1 6 or 2x 4 7 6 2x 3 7 1 and x 4 6 1 03x 8 0 03 2x 0 9 6 6 2 28. 29. 30. 00.4x 0.3 0 0.2 6 7 31. 07 3x 0 32. 6 02x 5 0 5 1 7 3 33. An elevator can accommodate a maximum weight of 2000 lb. If four passengers on the elevator have an average weight of 180 lb each, how many additional passengers of the same average weight can the elevator carry before the maximum weight capacity is exceeded? 34. The normal range in humans of the enzyme adenosine deaminase (ADA), is between 9 and 33 IU (international units), inclusive. Let x represent the ADA level in international units. a. Write an inequality representing the normal range for ADA. b. Write a compound inequality representing abnormal ranges for ADA. 35. The mass of a small piece of metal is measured to be 15.41 g. If the measurement error is at most g, write an absolute value inequality that 0.01 represents the possible mass, x, of the piece of metal.
miller_intermediate_algebra_4e_ch1_3
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