By James Stewart, Lothar Redlin, Saleem Watson
This most sensible promoting writer workforce explains options easily and obviously, with no glossing over tough issues. challenge fixing and mathematical modeling are brought early and strengthened all through, delivering scholars with a fantastic starting place within the rules of mathematical considering. accomplished and lightly paced, the publication presents whole insurance of the functionality notion, and integrates an important volume of graphing calculator fabric to aid scholars improve perception into mathematical principles. The authors' cognizance to element and readability, kind of like present in James Stewart's market-leading Calculus e-book, is what makes this ebook the industry chief.
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Extra info for Algebra and Trigonometry , Third Edition
41 1 12. 67 0 | The Real Number Line and Order 13 S E C T I O N P. 2 13. Ϫp Ͼ Ϫ3 14. 8 Յ 9 41. Ϫ2 Ͻ x Յ 1 42. x Ն Ϫ5 15. 1 16. 8 Յ 8 43. x Ͼ Ϫ1 44. Ϫ5 Ͻ x Ͻ 2 17–20 ■ On a real number line, graph the numbers that satisfy the inequality. 1 2 17. x Ն 21–24 ■ (b) 20. x Յ 0 −2 0 _ 23 0 5 ■ 0 Graph the set. 26. (a) (b) (c) (d) (e) y is negative. z is greater than 1. b is at most 8. „ is positive and is less than or equal to 17. y is at least 2 units from p. B ϭ 52, 4, 6, 86 (b) A ʝ B (b) ƒ Ϫ73 ƒ 54.
79 DISCUSSION ■ WRITING 106. How Big Is a Billion? If you had a million (106) dollars in a suitcase, and you spent a thousand (10 3) dollars each day, how many years would it take you to use all the money? If you spent at the same rate, how many years would it take you to empty a suitcase filled with a billion (10 9 ) dollars? 102. 320 ϫ 1013 dollars. How much was each person’s share of the debt? 103. Number of Molecules A sealed room in a hospital, measuring 5 m wide, 10 m long, and 3 m high, is filled with pure oxygen.
Every real number a has a negative, Ϫa, that satisfies a ϩ 1Ϫa2 ϭ 0. Subtraction is the operation that undoes addition; to subtract a number from another, we simply add the negative of that number. By definition a Ϫ b ϭ a ϩ 1Ϫb2 To combine real numbers involving negatives, we use the following properties. PROPERTIES OF NEGATIVES Property 1. 1Ϫ12a ϭ Ϫa Example 1Ϫ125 ϭ Ϫ5 2. Ϫ1Ϫa2 ϭ a Ϫ1Ϫ52 ϭ 5 4. 1Ϫa2 1Ϫb2 ϭ ab 1Ϫ42 1Ϫ32 ϭ 4 # 3 3. 1Ϫa2b ϭ a1Ϫb2 ϭ Ϫ1ab2 1Ϫ527 ϭ 51Ϫ72 ϭ Ϫ15 # 72 5. Ϫ1a ϩ b2 ϭ Ϫa Ϫ b Ϫ13 ϩ 52 ϭ Ϫ3 Ϫ 5 6.
Algebra and Trigonometry , Third Edition by James Stewart, Lothar Redlin, Saleem Watson