136 Chapter 2 Linear Equations and Inequalities in One Variable Use an absolute value inequality to solve each problem. (See Objective 4.) 67. A 2011 poll revealed that 74% of Americans think education and training in science, technology, engineering, and mathematics (STEM) is very important to U.S. competitiveness and our future economic prosperity. If the margin of error of the poll was 3.1%, what is the possible range of percentages of Americans who think that STEM education and training is very important to U.S. competitiveness and prosperity? (Source: www.researchamerica.org) 68. A 2010 poll revealed that 88% of Americans with private health insurance thought that the quality of their health care was excellent or good. If the margin of error of the poll was 4%, what is the possible range of percentages of Americans who were satisfied with the quality of their health care? (Source: www.gallup.com) 69. Rita read in a magazine that the best way to maintain one’s weight loss is making sure one’s weight stays within 5 lb of his or her goal weight. If Rita’s goal weight is 145 lb, how much can she weigh while maintaining her weight loss? 70. Randal wants to stay within 5 lb of his ideal weight of 185 lb. How much can Randal weigh while meeting his goal? Use test points to solve each absolute value inequality. (See Objective 5.) 71. uxu > 16 72. uxu > 25 73. u2x - 5u < 11 74. u6x - 3u < 21 75. u1 - 4xu ≥ 5 76. u3 - 6xu ≥ 3 77. uy - 4u ≤ 0 78. uy + 3u ≤ 0 79. u5x + 4u - 6 ≥ 10 80. u7x + 3u - 8 ≥ 2 81. u7 - 7xu <-3 82. u5 - 3xu <-4 83. uxu >-1 84. uxu >-7 85. ux - 6u ≥ 0 86. ux + 3u ≥ 0 87. u6x - 3u >-3 88. u3x - 2u >-5 89. u2x - 10u > 0 90. u0.4x - 1.2u > 0 91. u2x - 5u + 9 ≤ 21 92. u3x - 1u + 7 ≤ 18 93. u2 - xu - 5 < 16 94. u3 - 2xu - 7 < 23 Mix ’Em Up! Solve each inequality. Write each answer in interval notation. 95. u6x + 9u ≤ 17 96. u4x + 10u ≤ 2 97. uau >-9 98. uau ≥- 1 2 99. u2y - 1u - 8<-2 100. u4y - 3u - 9<-1 101. -uxu < 6 102. -uxu <-10 103. u5x + 6u - 2 ≥ 7 104. u8x - 3u - 4 ≥ 5 105. u2x - 12u > 0 106. u5x + 15u > 0 107. u8 - 4xu ≤ 0 108. u24 - 6xu ≤ 0 109. ` 2x - 6 5 ` + 1 ≤ 2 110. ` 2 - 3x 4 ` - 2 ≥ 1 111. 3 - ux + 4u < 5 112. 1 - ux + 3u < 6 113. 3.2 - ux - 2.1u ≥ 8.6 114. 12.5 + ux + 1.3u ≥ 3.5 115. ` 1 - x 2 ` + 3 < 3 116. ` 2 + x 3 ` - 2≥-2 117. 2.8 + ux - 0.9u ≤ 6.3 118. 4.5 + ux - 2.4u ≤ 7.2 119. Use test points to solve: ux - 3u≤ -3 120. Use test points to solve: ux + 9u ≤ 0. 121. Use test points to solve: ux - 8u < 9 122. Use test points to solve: ux + 3u < 11 123. Use test points to solve: u6x + 3u - 1 ≥ 4 124. Use test points to solve: u5x + 8u + 3 ≥ 6 125. A 2008 USA Today/Gallup Poll found that 53% of Americans described themselves as angry about the country’s financial crisis. If the margin of error was 3%, what are the possible percentages of Americans polled who described themselves as angry about the country’s financial crisis? (Source: www.gallup.com) 126. A 2007/2008 Gallup Poll found that approximately 28% of people polled in Latin America with a college degree desired to move to another country. If the margin of error was 4%, what are the possible percentages of people in Latin America with a college degree who desired to move to another country. (Source: www.gallup.com) 127. A truck overturn results in a hazardous chemical spill. Emergency management personnel advise that motorists should be restricted from being within a 10-mi radius of the spill. If the spill happens at mile marker 35 on Interstate 20 in South Carolina, what are the safe locations on Interstate 20 for motorists? 128. A truck overturn on the New Jersey Turnpike results in a hazardous chemical spill. Emergency management personnel advise that motorists should be restricted from being within a 25-mi radius of the spill. If the spill happens at mile marker 40 on the New Jersey Turnpike, what are the safe locations on the turnpike for motorists? You Be the Teacher! Answer each student’s questions. 129. Lee: Will there always be two disjoint intervals in the solution set when I solve an absolute value inequality of the form uXu > k? Please explain.
hendricks_intermediate_algebra_1e_ch1_3
To see the actual publication please follow the link above