By R. David Gustafson, Alan S. Tussy

ISBN-10: 1111567670

ISBN-13: 9781111567675

Algebra will be like a international language, yet INTERMEDIATE ALGEBRA, 5E, can provide the instruments and perform you want to totally comprehend the language of algebra and the "why" in the back of challenge fixing. utilizing method and Why motives in labored examples and a six-step challenge fixing technique, INTERMEDIATE ALGEBRA, 5E, will consultant you thru an built-in studying strategy that might extend your reasoning talents because it teaches you ways to learn, write, and imagine mathematically. suppose convinced approximately your talents via extra perform within the textual content and more suitable WebAssign. With INTERMEDIATE ALGEBRA, 5E, algebra will make experience since it isn't just in regards to the x...it's additionally concerning the WHY.

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**Example text**

A. Ϫ44 ϭ Ϫ4 11 Divide the absolute values, 44 by 11, to get 4. Since the signs are unlike, make the final answer negative. b. 3. Since the signs are like, the final answer is positive. Self Check 4 Now Try Divide: 55 a. 2 b. Ϫ6 Problems 39 and 43 To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. In symbols, if a, b, c, and d are real numbers, and no denominators are 0, then a c a d Ϭ ϭ ؒ b d b c EXAMPLE 5 Divide: a. d c is the reciprocal of dc . 3 2 Ϭ aϪ b 3 5 b.

21. The symbols { } are called . 22. ” ʕ is read as “is a 23. Describe the set of rational numbers using set-builder notation. 24. What set of numbers does each symbol represent? a. ގ b. ޗ c. ޚ 25. What set of numbers does each symbol represent? a. ޑ b. ވ c. ޒ 2 26. List two other ways that the fraction Ϫ 3 can be written. GUIDED PRACTICE 12 ʦ ގ Ϫ5 ޚ ޒʕޗ ޑ ވ 5 49. 1 f 22 28. 30. 32. 34. 9ʦގ Ϫ55 ވ ޗʕޒ ޚ ޑ 1 50. 11 f 1 51. 52. 53. 54. 55. 56. 57. 58. The set of prime numbers less than 8 The set of integers between Ϫ7 and 0 The set of odd integers between 10 and 18 The set of composite numbers less than 10 The set of positive odd integers less than 12 The set of negative even integers greater than Ϫ7 The set of even integers from Ϫ6 to 6 The set of odd natural numbers less than or equal to 5 Insert either a Ͻ or a Ͼ symbol to make a true statement.

One-half of the sum of a number and 8 Strategy We will begin by identifying any key words or phrases. Why Solution Caution Be careful when translating subtraction. Order is important. For example, when a translation involves the phrase less than, note how the terms are reversed. Key words and phrases can be translated to mathematical symbols. a. Key phrase: less than Translation: subtraction If we let w represent the unknown weight (in pounds), then we need to make w 19 pounds less. The algebraic expression is: w Ϫ 19.

### Intermediate Algebra (5th Edition) by R. David Gustafson, Alan S. Tussy

by George

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