194 Chapter 2 Linear Equations and Inequalities For Exercises 29–34, graph each set and write the set in set-builder notation. (See Example 3.) Set-Builder Notation Graph Interval Notation 29. 30. 5x 0 x 186 5x 010 x 26 5x 0 x 6 0.66 5 e 3 f x 0 x 6 5x 03.5 x 6 7.16 5x 0 x 106 318, 2 310, 24 1, 0.62 a, 5 3b 33.5, 7.12 310, 2 18 10 2 ) ) 53 3.5 7.1 10 ) 0.6 31. 32. 33. 34. Concepts 3 and 4: Properties of Inequality For Exercises 35–42, solve the equation in part (a). For part (b), solve the inequality and graph the solution set. Write the answer in set-builder notation and interval notation. (See Examples 4–7.) 35. a. x 3 6 3 36. a. y 6 12 18 37. a. p 4 9 13 38. a. k 8 10 2 b. b. b. b. x 3 7 6 y 6 12 p 4 9 k 8 6 10 ( 5x 0x 7 36; 13, 2 5y 0 y 186; 318, 2 5p 0 p 136; 1, 134 5k 0 k 6 26; 1, 22 3 2 39. a. 40. a. 41. a. 42. a. 2w 14 7 4c 12 3 5d 35 7 10z 15 b. b. b. b. 4c 6 12 5d 7 35 10z 15 2w 6 14 ( 3 ( 7 7 32 5c 0c 6 36; 1,32 5d 0d 7 76; 17, 2 ez z 5w0w 7 76; 17, 2 Concept 5: Inequalities of the Form a x b For Exercises 43–48, graph the solution and write the set in interval notation. (See Example 8.) 43. 44. 45. 1 6 y 4 11, 44 2.5 t 6 5.7 32.5, 5.72 0 6 x 3 6 8 13, 52 2 x 4 3 32, 74 8 4x 24 32, 64 9 6 3x 6 12 13, 42 46. 47. 48. Mixed Exercises For Exercises 49–96, solve the inequality and graph the solution set. Write the solution set in (a) set-builder notation and (b) interval notation. (See Examples 4–8.) 49. 50. 51. x 5 6 y 7 6 6 3q 7 7 2q 3 ( a. 5x 0x 16 b. 1, 1 4 a. 5y 0y 6 136 b. 1, 132 a. 5q 0q 7 106 b. 110, 2 52. 53. 54. ( 5r 4 4r 1 4 6 1 x 3 7 z 6 ( a. 5r 0r 56 b. 35, 2 a. 5x 0x 7 36 b. 13, 2 a. 5z 0z 6 96 b. 1, 92 55. 56. 57. 3c 7 6 4d 12 3c 7 6 ( ( a. 5c 0c 7 26 b. 12, 2 a. 5d 0d 36 b. 1, 3 4 a. 5c 0c 6 26 b. 1, 22 58. 4d 12 59. h 14 60. q 7 7 ( ( ( 3 5 2 7 2 6 ( ( 3 4 ( 1 4 ( 2.5 5.7 3 2 f; c 3 2 , b 3 18 13 2 ( 10 13 1 ( 9 3 5 2 2 3 7 ( a. 5d 0d 36 b. 33, 2 a. 5h 0h 146 b. 314, 2 a. 5q 0q 6 76 b. 1, 72 3 14 Writing Translating Expression Geometry Scientific Calculator Video
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