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Chapters 1–3 Cumulative Review Exercises 209 Find the intersection and union of the sets. Write the solution in interval notation. (Section 2.5, Objectives 1 and 2) 73. A = -13, 1, B = -12, 4 74. A = (4, 20, B = 3, 18) Solve each compound inequality. Write the solution in interval notation. (Section 2.5, Objective 3) 75. x . 27 and x . 25 76. x # 3 and x # 7 Solve each compound inequality. Write the solution in interval notation. (Section 2.5, Objective 4) 77. x $ 8 or x $ 15 78. 5x + 13 > 18 or 7x - 14 ≤ -13 Solve each equation. (Section 2.6, Objectives 1–3) 79. |11 - x| = 23 80. |7 - 2x| = |3x + 16| 81. |2x + 10| = 0 82. |26 - 2x| = 0 Solve each problem. (Section 2.6, Objective 3) 83. Suppose a digital scale reflects a weight (in pounds) with an absolute error of 0.2 1b. If someone weighs 110.1 according to the scale, find the exact weight of the person. 84. Suppose a countertop food scale reflects a weight (in ounces) with an absolute error of 0.1 oz. If a piece of meat weighs 4 oz according to the scale, find the exact weight of the piece of meat. 85. Plot the three ordered pairs, (-12, 25), (10, -5), and (24, 40), on the same rectangular coordinate system. Then specify the quadrant where each point is located. (Section 3.1, Objective 1) 86. Graph y = -(x - 2)2 + 4. (Section 3.1, Objective 3) 87. Find the midpoint of the line segment formed by (4.3, -16.2) and (-18.5, -21.4). (Section 3.1, Objective 5) 88. The table shows the number of Honda motorcycles sold (in thousands) for the years 2006 to 2010. (Source: http:// world.honda.com/investors/financial_data/segment/) (Section 3.1, Objective 6) Years after 2006 0 1 2 3 4 Number of Honda motorcycles sold 10,271 10,369 9320 10,114 9639 a. Write the ordered pairs that represent the given data, where x is the number of years after 2006 and y is the number of units of Honda motorcycles sold. b. Create a scatter plot of the data. c. What can you conclude about Honda motorcycle sales? Express each relation as a graph. (Section 3.2, Objective 1) 89. The price of Walt Disney Company stock in the beginning of January of the specified year is given in the table. (Source: http://finance.yahoo.com/q/hp?s=DIS) Year 2006 2007 2008 2009 2010 2011 Price (in dollars) 25.7 35.03 29.83 21.46 30.60 39.29 90. The percentage of active reach of the top five global Web companies in 2010 is given in the table. Use rating as x and percentage of active reach as y. (Source: http:// www.nielsen.com) Rating 1 2 3 4 5 Company Google Yahoo! Facebook Bing YouTube Percentage of active 76.0 65.0 61.9 56.2 47.6 reach 91. x 5 9 16 28 y −8 −12 21 15 Write each relation in the specified form and state its domain and range. (Section 3.2, Objective 1) 92. According to the Nielsen Ratings, the total number of viewers (in millions) for the four major networks in January of a recent year is shown in the mapping. Write this relation as a set of ordered pairs. (Source: http:// tvbythenumbers.zap2it.com) 7 780 5 070 20 378 12 773 93. A bus company runs a route between New York City and Philadelphia and charges $12.00 per person for a one-way ticket. Express the relation between the number of one-way tickets sold and the revenue the bus company earns as an equation. 94. Find the domain and range of the relation given by the graph. (Section 3.2, Objective 2) 4 y 2 8 4 –4 –4 –2 –8 x


hendricks_intermediate_algebra_1e_ch1_3
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