124 Chapter 2 Linear Equations and Inequalities in One Variable 65. u2.6 - 0.2xu = 14.6 66. u5.4 - 0.6xu = 13.8 67. Suppose a machine with an absolute error reading of 1.3 units reports the measurement of an object as 10.98 units. What are the possible values for the actual measurement of the object? 68. Suppose a machine with an absolute error reading of 5.65 units reports the measurement of an object as 2564.42 units. What are the possible values for the actual measurement of the object? 69. Suppose the actual length of an object is 4.569 m. If this length is estimated by 4.6 m, what the absolute error? 70. Suppose the actual length of an object is 10.32 in. If this length is estimated by 9 in., what is the absolute error? 71. A poll shows that candidate A will receive 30% of the vote and candidate B will receive 39% of the vote. If this poll has an absolute error of 5%, what are the possible values for how much of the vote each candidate will receive? 72. A poll shows that candidate C will receive 60% of the vote and candidate D will receive 29% of the vote. If this poll has an absolute error of 7%, what are the possible values for how much of the vote each candidate will receive? You Be the Teacher! Correct each student’s errors, if any. 73. Solve u4x - 5u = 11. Kelly’s work: u4x - 5u = 11 4x - 5 = 11 4x = 16 x = 4 So, the solution set is 546 . 74. Solve u9x + 1u - 4=-2. Kyle’s work: The solution set is since the right side of the equation is negative. 75. Solve ux + 5u =-3. Mark’s work: ux + 5u =-3 x + 5 = 3 or x + 5=-3 x=-2 x=-8 So, the solution set is 5-8, -26 . 76. Solve u2x - 3u + 5 = 8. Ashley’s work: u2x - 3u + 5 = 8 2x - 3 + 5 = 8 or 2x - 3 + 5=-8 2x + 2 =8 2x + 2=-8 2x =6 2x=-10 x = 3 x=-5 So, the solution set is 5-5, 36. Calculate It! Solve each absolute value equation. Use a graphing calculator to check each answer. 77. u17x - 5u = 33 78. u13x + 15u = 21 79. ` 6x + 11 4 ` - 2 = 5 80. ` 5x - 12 4 ` + 5 = 8 Think About It! 81. For what values of x and a does the absolute value equation ux - au = x have solutions? 82. For what values of x and a does the absolute value equation ux - au =-x have solutions? 83. Write an example of an absolute value equation that has one solution. 84. Write an example of an absolute value equation that has no solution.
hendricks_intermediate_algebra_1e_ch1_3
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