By James Stewart, Lothar Redlin, Saleem Watson

Discover ways to imagine mathematically and strengthen actual problem-solving talents with Stewart, Redlin, and Watson's university ALGEBRA, 5th variation. this easy and easy-to-use algebra ebook may help you study the basics of algebra in various useful methods. The booklet beneficial properties new instruments that will help you be successful, comparable to studying goals earlier than each one part to arrange you for what you are approximately to benefit, and a listing of formulation and key ideas after every one part that aid make stronger what you may have realized. furthermore, the publication comprises many real-world examples that express you ways arithmetic is used to version in fields like engineering, enterprise, physics, chemistry, and biology.

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**Example text**

001Ϫ2/3 24. 5 22. (a) 1Ϫ10002Ϫ2/3 (b) AϪ278 B 2/3 (b) 10,000Ϫ3/2 3/2 (c) A 25 64 B (c) 1Ϫ800024/3 (c) 91/3 # 151/3 # 251/3 Evaluate the expression using x ϭ 3, y ϭ 4, and z ϭ Ϫ1. ■ 25. 2x ϩ y2 2 42/3 148 13 (b) 1Ϫ322 2/5 25–28 2 (b) (a) A 49 B Ϫ1/2 ✎ 19. 20. 1 ▼ SKI LLS 7. 11Ϫ3/2 10. 3 27. 19x2 2/3 ϩ 12y2 2/3 ϩ z2/3 4 26. 2x3 ϩ 14y ϩ 2z 28. 5 29–38 ■ Simplify the expression. Assume the letters denote any real numbers. 4 4 29. 2 x ✎ 31. ✎ 33. 5 10 30. 2 x 4 2 16x8 3 32. 2x3y6 3 2x3y 3 3 36. 2a2b 2a4b 3 37.

In general, a sailboat is capable of greater speed if it is longer, has a larger sail area, or displaces less water. To make sailing races fair, only boats in the same “class” can qualify to race together. 38A1/2 Ϫ 3V 1/3 Յ 16 where L is measured in feet, A in square feet, and V in cubic feet. Use this inequality to answer the following questions. (a) A sailboat has length 60 ft, sail area 3400 ft2, and displacement 650 ft3. Does this boat qualify for the race? (b) A sailboat has length 65 ft and displaces 600 ft3.

41 43. x Ͼ Ϫ1 44. Ϫ5 Ͻ x Ͻ 2 10 12 Ͻ 11 13 13. Ϫp Ͼ Ϫ3 1 12. Ϫ Ͻ Ϫ1 2 14. 8 Յ 9 45–46 15. 1 16. 8 Յ 8 9–16 ■ State whether each inequality is true or false. 9. Ϫ6 Ͻ Ϫ10 11. 45. (a) (b) 17–20 ■ On a real number line, graph the numbers that satisfy the inequality. xՆ ✎ 19. x Ͻ Ϫ3 21–24 ■ (b) Find the inequality whose graph is given. _2 0 _ 23 0 0 5 x is positive. t is less than 4. a is greater than or equal to p. x is less than 13 and is greater than Ϫ5. The distance from p to 3 is at most 5. 26.