178 CHAPTER 1 Equations and Inequalities 55. Concept Check Which inequality has solution set 1-∞, ∞2? A. 1x - 322 Ú 0 B. 15x - 622 … 0 C. 16x + 422 70 D. 18x + 722 60 56. Concept Check Which inequality in Exercise 55 has solution set ∅? (Modeling) Solve each problem. 87. Box Office Receipts U.S. movie box office receipts, in billions of dollars, are shown in 5-year increments from 1997 to 2017. Year Receipts 1997 6.366 2002 9.155 2007 9.664 2012 10.838 2017 11.072 Data from www.boxofficemojo.com Solve each rational inequality. Give the solution set in interval notation. 83. 15 - 3x22 12x - 523 70 84. 15x - 323 125 - 8x22 … 0 81. 2x - 3 x2 + 1 Ú 0 82. 9x - 8 4x2 + 25 60 85. 12x - 3213x + 82 1x - 623 Ú 0 86. 19x - 11212x + 72 13x - 823 70 Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 57. x - 3 x + 5 … 0 58. x - 1 x - 6 … 0 59. x + 2 x + 7 Ú 0 60. x + 1 x - 4 70 61. 1 - x x + 2 6 -1 62. 6 - x x + 2 71 63. 3 x - 6 … 2 64. 3 x - 2 61 65. -4 1 - x 65 69. 10 3 + 2x … 5 70. 1 x + 2 Ú 3 71. 7 x + 2 Ú 1 x + 2 66. -6 3x - 5 … 2 67. 10 x + 3 Ú 1 68. 3 x + 5 72 72. 5 x + 1 7 12 x + 1 73. 5 1 - x … 2 1 - x 74. 4 3 + x … 3 3 + x 75. 3 2x - 1 7 -4 x 76. -5 3x + 2 Ú 5 x 77. 4 2 - x Ú 3 1 - x 78. 4 x + 1 6 2 x + 3 79. x + 3 2x - 5 … 1 80. x + 2 2x + 3 … 5
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