Section 1.1 Sets and the Real Numbers 13 17. State the set A using the roster method. 18. State the set D using the roster method. 19. State the set A B using the roster method. 20. State the set C D using the roster method. 21. State the set D ∪ E using the roster method. 22. State the set B ∪ F using the roster method. 23. Is Columbia University C E ? 24. Is Princeton University A F? Classify each real number as natural, whole, integer, rational, or irrational. List each classifi cation that applies. (See Objective 2.) 25. -7 26. -5 27. 2 5 28. 3 4 29. 13 30. -110 31. 1.5 32. 3.6 33. - 7 4 34. - 8 3 35. 16.375 36. 13.1289 37. 5 1 2 38. 7 2 3 39. -0.001 40. -0.0025 41. 149 42. 116 43. - 163 113 44. - 269 534 45. 3π 46. 4π 47. 0.3 48. 1.9 Graph each number on a real number line. (See Objective 3.) 49. -5 50. -1 51. - 1 2 52. 3 4 53. 110 54. 15 55. 3.5 56. 6.2 57. 5 2 58. 4 3 59. -0.7 60. -0.1 61. 19 62. 1100 63. -2 1 6 64. 5 1 3 65. 25 2 66. 45 4 Find the opposite of each number. Assume a and b represent positive real numbers. (See Objective 4.) 67. 11 68. 15 69. − 3 7 70. − 2 3 71. 4π 72. 7π 73. −110 74. −17 75. 1001 76. 121 77. −1.35 78. −4.67 79. 2 1 8 80. 3 1 3 81. 10 3 82. 11 2 83. −a 84. b 85. - 9 2 86. - b 3 87. 3a 88. −5b Simplify each absolute value expression. Assume m represents a positive real number. (See Objective 5.) 89. u2u 90. u6u 91. u-10u 92. u-13u 93. ` 10 3 ` 94. ` 1 6 ` 95. `- 3 5 ` 96. `- 5 6 ` 97. -u15u 98. -u16u 99. -u-4u 100. -u-9u 101. -P 13 P 102. -P 12 P 103. P-16 P 104. P-118 P 105. umu 106. u-mu Mix ’Em Up! Solve each problem. 107. Use the roster method to write A = 5xux is a whole number greater than or equal to 106 . 108. Use the roster method to write A = Uxux is a natural number less than115 F. 109. Let A = 5xux is a positive integer6 and B = 5xux is a whole number less than 56 . Find A B and A B. 110. Let A = 5xux is an even integer6 and B = 5xux is an odd integer6 . Find A B and A B.
hendricks_intermediate_algebra_1e_ch1_3
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