Intermediate Algebra: An Applied Approach, 8th Edition by Joanne Lockwood Richard N. Aufmann

By Joanne Lockwood Richard N. Aufmann

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Write each fraction in terms of the common denominator. • Add the numerators. Place the sum over the common denominator. ͩ ͪ 7 1 Ϫ Ϫ 15 6 7 1 ϩ 15 6 • Write subtraction as addition of the opposite. ෇ Ϫ7 2 1 5 Ϫ14 5 и ϩ и ෇ ϩ 15 2 6 5 30 30 • Write each fraction in terms of the common denominator, 30. ෇ Ϫ9 3 ෇Ϫ 30 10 • Add the numerators. Write the answer in simplest form. The product of two fractions is the product of the numerators over the product of the denominators. HOW TO • 11 Ϫ Multiply: Ϫ 8 5 и 12 15 5 8 5и8 40 и ෇Ϫ ෇Ϫ 12 15 12 и 15 180 ෇Ϫ 20 и 2 2 ෇Ϫ 20 и 9 9 • The signs are different.

X ͉ x Ͻ 1͖ 56. ͕x ͉ x Յ 6͖ 57. ͕x ͉ x Ն Ϫ2͖ 58. ͕x ͉ x Ն 3͖ For Exercises 59 to 68, write each interval in set-builder notation. 59. (0, 8) 60. (Ϫ2, 4) 61. ͓Ϫ5, 7͔ 62. ͓3, 4͔ 63. ͓Ϫ3, 6͒ 64. ͑4, 5͔ 65. ͑Ϫϱ, 4͔ 66. (Ϫϱ, Ϫ2) 67. (5, ϱ) 68. ͓Ϫ2, ϱ͒ For Exercises 69 to 76, graph. 69. (Ϫ2, 5) −5 −4 −3 −2 −1 70. 0 1 2 3 4 −5 −4 −3 −2 −1 72. 0 1 2 3 4 74. 0 1 2 3 4 75. ͓3, ϱ͒ −5 −4 −3 −2 −1 76. 0 OBJECTIVE C 1 2 3 4 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 ͓Ϫ2, ϱ͒ −5 −4 −3 −2 −1 5 1 (Ϫϱ, Ϫ1) −5 −4 −3 −2 −1 5 0 ͓Ϫ3, 2͔ −5 −4 −3 −2 −1 5 73.

Have each person bring a few sample questions when you get together. © Cengage Learning/Photodisc © Cengage Learning/Photodisc Get Involved • Compare class notes. Couldn’t understand the last five minutes of class? Missed class because you were sick? Chances are someone in your group has the notes for the topics you missed. • • Brainstorm test questions. © Cengage Learning/Photodisc Practice teaching each other. We’ve found that you can learn a lot about what you know when you have to explain it to someone else.

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