Section 1.2 Introduction to Algebra and the Set of Real Numbers 33 Chicago 579 ft Cincinnati 433 ft New Orleans Houston 0 ft 8 ft Tucson 2250 ft A 5 , 111, 4, 0.6, 0, 17, 16 32 6 5 4 3 2 1 0 1 2 3 4 5 6 38. List three numbers that are real numbers but not irrational numbers. 40. List three numbers that are integers but not whole numbers. 37. List three numbers that are real numbers but not rational numbers. 39. List three numbers that are integers but not natural numbers. 41. List three numbers that are rational numbers but not integers. For Exercises 42–48, let (See Example 5.) 42. Are all of the numbers in set A real numbers? 43. List all of the rational numbers in set A. 44. List all of the whole numbers in set A. 45. List all of the natural numbers in set A. 46. List all of the irrational numbers in set A. 47. List all of the integers in set A. 48. Plot the real numbers from set A on a number line. (Hint: 111 3.3 and 17 2.6) Concept 3: Inequalities 49. The LPGA Samsung World Championship of women’s golf scores for selected players are given in the table. Compare the scores and fill in the blank with the appropriate inequality sign: (See Example 6.) a. Kane’s score _______ Pak’s score. b. Sorenstam’s score _______ Davies’s score. c. Pak’s score _______ McCurdy’s score. d. Kane’s score _______ Davies’s score. 50. The elevations of selected cities in the United States are shown in the figure. Compare the elevations and fill in the blank with the appropriate inequality sign: (A negative number indicates that the city is below sea level.) a. Elevation of Tucson _______ elevation of Cincinnati. b. Elevation of New Orleans _______ elevation of Chicago. c. Elevation of New Orleans _______ elevation of Houston. d. Elevation of Chicago _______ elevation of Cincinnati. Concept 4: Opposite of a Real Number For Exercises 51–58, find the opposite of each number. (See Example 7.) 51. 18 52. 2 53. 54. 55. 56. 57. 58. 1 9 7 3 1 3 5 8 6.1 2.5 6 or 7. 6 or 7. Final Score with LPGA Golfers Respect to Par Annika Sorenstam 7 Laura Davies 4 Lorie Kane 0 Cindy McCurdy 3 Se Ri Pak 8
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