By Alvin K Bettinger

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Use the graph and roster notation to make a list of the regions that will have consumed more than 10 million barrels of oil per day for both 2002 and 2025. b. According to the table, by how many million barrels of oil will the daily consumption of Emerging Asia exceed that of North America in 2025? c. , or 5 symbol for the following statement: In 2025, EE/FSU’s consumption of oil Mature Market Asia’s consumption of oil. a. Use the graph and roster notation to make a list of the regions that will have consumed less than 10 million barrels of oil per day for both 2002 and 2025.

A. 28 24 b. 3 c. 0 1 d. } 3 e. 1 Answers to PROBLEMS 6. a. indd 10 b. , c. d. , e. 1 c. q Ϫ2 Ϫ1 1 0 2 Qa d. Ϫ1 e. 333. . 5 3 Thus, }15 , }13, 3 5 1 } } or }15 = } 15 and 3 5 15 which makes 3 5 1 1 } , } and } , }. 2 Ϫ3 Ϫ2 f. 333 . . } 3 . Thus, } 1 } and 0. 3 correspond to the 3 same point. 3 G V Applications Involving Real Numbers Now that you have seen some examples of how to write sets with different types of notation and practiced how to compare numbers, let’s use this knowledge to solve the application problem in Example 7.

5) ϭ Ϫ7. 5, have different (unlike) signs. EXAMPLE 3 PROBLEM 3 Multiplying signed numbers Multiply: Multiply: a. 7 ؒ (Ϫ8) b. (Ϫ5) ؒ 0 c. 5) ؒ 4 a. 9 ؒ (Ϫ7) b. 0 ؒ (Ϫ9) c. 5) ؒ 2 SOLUTION a. 7 ؒ (Ϫ8) ϭ Ϫ56 b. (Ϫ5) ؒ 0 ϭ 0 c. 0 or Ϫ10 What about the product of two negative integers such as Ϫ2 ؒ (Ϫ3)? First, look for a pattern when multiplying integers by (Ϫ3). This number decreases by 1. This number increases by 3. 2 ؒ (Ϫ3) ϭ Ϫ6 1 ؒ (Ϫ3) ϭ Ϫ3 0 ؒ (Ϫ3) ϭ 0 Ϫ1 ؒ (Ϫ3) ϭ 3 Ϫ2 ؒ (Ϫ3) ϭ 6 Thus, Ϫ2 ؒ (Ϫ3) ϭ 6.