34 Chapter 1 The Set of Real Numbers The opposite of a is denoted as . For Exercises 59–66, simplify. (See Example 8.) 7 3 132 15.12 b a 172 59. 60. 61. 62. 182 1362 172.12 b 63. 64. 65. 66. Concept 5: Absolute Value of a Real Number For Exercises 67–78, simplify. (See Example 9.) 67. 68. 69. 70. a 9 10 02 0 07 0 01.5 0 03.7 0 3 2 01.5 0 03.7 0 ` ` ` 71. 72. 73. 74. 1 2 0 10 0 0 20 0 ` 75. 76. 77. 78. ` 7 4 For Exercises 79–80, answer true or false. If a statement is false, explain why. 79. If n is positive, then is negative. 80. If m is negative, then is negative. 0n 0 0m0 For Exercises 81–104, determine if the statements are true or false. Use the real number line to justify the answer. (See Example 10.) 81. 82. 83. 84. 5 7 2 8 6 10 6 6 6 19 7 19 85. 86. 87. 88. 89. 90. 91. 92. 5 7 2 6 6 10 8 8 10 10 1 9 93. 94. 95. 96. ` 07 0 07 0 013 0 013 0 1 6 01 0 6 6 06 0 97. 98. 99. 100. 101. 102. 103. 104. 08 0 08 0 011 0 011 0 02 0 02 0 021 0 021 0 Expanding Your Skills 105. For what numbers, a, is a positive? 106. For what numbers, a, is 0a 0 a? 1 3 ` ` 1 3 ` ` ` ` 1 9 02 0 01 0 03 0 01 0 ` 1 4 7 8 3 2 1 6 7 7 1 1 ` 11 3 ` ` a
miller_beginning_intermediate_algebra_4e_ch1_3
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