Section 2.7 Linear Inequalities in One Variable 179 Inequality Graph Interval Notation Set-Builder Notation 24. c 3 5 , ∞b 25. Exux <10F 26. Eyuy >1F 27. e x P x≤- 5 4 f 28. Eyuy≥-1F 29. -2 ≤ x ≤ 5 30. -6 < y ≤ 8 31. 3 ≤ x < 10 32. 0 < a < 12 33. -7, 3) 34. (1, 9 35. e x P- 7 3 ≤ x ≤ 8 f 36. e y P- 5 2 < y < 1 2 f Solve each inequality. Graph the solution set and write the solution set in interval notation and in set-builder notation. (See Objective 4.) 37. x - 3 > -7 38. y - 6 ≥ -15 39. x + 1 ≥ 8 40. a + 9 ≥ -2 41. y - 4 < -4 42. a + 5 > 5 43. x + 10 ≤ 6 44. y - 2 ≤ -3 45. 2 < y + 3 46. -4 ≥ a - 7 47. -3x < 9 48. 7a ≥ -14 49. y 4 > 1 50. x 5 ≥-2 51. -a > 8 52. -y ≤ -4 53. -6a ≥ -12 54. -9a < 27 55. - 2 3 x > 18 56. - 4 5 a ≤-16 57. 2y - 4 < -8 58. 6a + 1 > -5 59. -5a + 3 ≥ -7 60. 4 - 7x ≤ -10 61. 6x - 5 ≤ 2x + 8 62. -9x + 3 > 8x - 1 63. 4 - 3(x - 5) > -2x + 1 64. 8 - (7x + 9) ≥ 10x + 4 65. 1 2 y - 3 ≤ 1 6 66. 3 4 a + 2 < 5 8 67. 75 + 0.25x < 100 68. 30 + 0.15a > 51 69. -9 < a + 4 < 12 70. -3 ≤ b - 7 ≤ 6 71. -13 ≤ 3x - 7 ≤ 8 72. -18 < 5y - 8 < 12 73. 18 ≤ 6 - 4x < 34 74. -11 < 3 - 2y ≤ 25 75. 5 ≤ -6a - 1 ≤ 17 76. -13 < -9b + 5 < 32 77. 1 8 < 3 4 a + 1 < 5 8 78. - 5 12 ≤ 2 3 b -1≤ 7 6
hendricks_beginning_algebra_1e_ch1_3
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