12 Chapter 1 Real Numbers and Algebraic Expressions SECTION 1.1 EXERCISE SET Write About It! Use complete sentences in your answer to each exercise. 1. Is every natural number a whole number? Explain. 2. Is every whole number a natural number? Explain. 3. Describe the set of rational numbers. 4. Describe the set of irrational numbers. 5. What does it mean for two numbers to be opposites? 6. What relationship exists between the absolute values of opposite numbers? Practice Makes Perfect! Use the roster method to write each set defi ned in Exercises 7–12. (See Objective 1.) 7. A = 5xu x is a whole number less than 56 8. A = 5xu x is a natural number less than 86 9. B = 5xu x is an integer strictly between -3 and 46 10. B = 5xu x is an integer strictly between -5 and 26 11. A = 5xu x is a natural number less than π6 12. B = 5xu x is an integer greater than π6 For Exercises 13–16, find A B and A B for the given sets. (See Objective 1.) 13. Let A = 5-6, -4, -2, 0, 2, 4, 6 6 and B = 51, 2, 3, . . .6 . 14. Let A = 5. . ., -3, -1, 1, 3, . . .6 and B = 5-4, -2, 0, 2, 4, . . .6 . 15. Let A = 53, 6, 9, 12, . . .6 and B = 52, 4, 6, 8, . . .6 . 16. Let A = 56, 12, 18, 24, 30, 36, 42, 48, 606 and B = 510, 20, 30, 40, 50, 606 . Use the following sets and table to complete Exercises 17 through 24. (See Objective 1.) Let A = 5xux is a university with enrollment less than 10,0006 B = 5xux is a university with tuition and fees less than $38,0006 C = 5xux is a university with acceptance rate less than or equal to 10%6 D = 5xux is a university with tuition and fees more than $45,0006 E = 5xux is a university with enrollment greater than 19,0006 F = 5xux is a university with ranking less than 46 The table provides information about the Top 10 National Universities according to the 2012 edition of the U.S. News & World Report’s annual Best Colleges issue. (Source: http://colleges.usnews.rankingsandreviews.com/ best-colleges/rankings/national-universities) Universities Rank Total Enrollment 2011–2012 Tuition and Fees Fall 2010 Acceptance Rate Harvard University 1 19,627 $39,849 7% Princeton University 1 7,802 $37,000 9% Yale University 3 11,701 $40,500 8% Columbia University 4 22,283 $45,290 10% California Institute of Technology 5 2,175 $37,704 13% Massachusetts Institute of Technology 5 10,566 $40,732 10% Stanford University 5 19,535 $40,569 7% University of Chicago 5 12,781 $42,783 19% University of Pennsylvania 5 19,842 $42,098 14% Duke University 10 14,983 $41,958 16%
hendricks_intermediate_algebra_1e_ch1_3
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