AN104 Answers: Appendix 109. = = a b 3, 5 111. = − = − a b 12, 8 113. = = a b 3, 11 115. = = a b 1 4 , 1 117. = = a b 4, 16 119. { } ≥− x x 2 121. < < 21 Age 30 123. (a) ≥ Man 82.2 years (b) ≥ Woman 85.8 years (c) A woman could expect to live 3.6 years longer. 125. The commission ranges from $45,000 to $95,000, inclusive. As a percent of selling price, the commission ranges from 5% to 8.6%, inclusive. 127. The amount withheld varies from $1122.50 to $1146.50 129. Calls ranged from 38 minutes to 323 minutes. 131. 3 cookies 133. (a) You need at least a 74 on the fifth test. (b) You need at least a 77 on the fifth test. 135. + − = + − = − > a b a a b a b a 2 2 2 2 0; therefore, < + a a b 2 . − + = − − = − > b a b b a b b a 2 2 2 2 0; therefore, > + b a b 2 . 137. ( ) ( ) − = − = − > ab a ab a a b a 0; 2 2 2 thus ( ) > ab a 2 2 so > ab a. ( ) ( ) − = − = − > b ab b ab b b a 0; 2 2 2 thus ( ) > b ab 2 2 so > b ab. A.10 Assess Your Understanding (page A93) 3. index 4. cube root 5. b 6. d 7. c 8. c 9. T 10. F 11. 3 13. −2 15. 2 2 17. 10 7 19. 2 4 3 21. − x x 2 3 23. 3 3 4 25. x y3 2 27. x y2 29. x 8 31. x y x 3 2 2 3 4 33. x x 5 3 35. 15 3 3 37. 12 3 39. 7 2 41. 6 3 43. 2 3 45. − 2 3 47. − + x x 2 1 49. ( ) −x x 2 1 2 3 51. ( ) −x x 2 15 2 53. ( ) − +x y xy 5 2 3 55. 2 2 57. − 15 5 59. ( ) +5 2 3 23 61. − 8 5 19 41 63. + 5 2 5 65. 5 4 2 3 67. + − + x h x xh h 2 2 2 69. − 5 11 1 71. − + 3 10 5 73. + x c 1 75. − + x 1 7 1 77. { } 9 2 79. { }3 81. 4 83. −4 85. 1000 87. 1 8 89. 27 2 32 91. 27 2 32 93. − 1 10 95. 25 16 97. x7 12 99. xy2 101. x y 2 3 103. x y 8 5 4 3 4 105. ( ) + + x x 3 2 1 1 2 107. ( ) ( ) + + x x x 3 2 1 2 2 1 2 109. + − + x x x 22 5 10 5 4 3 111. ( ) + + x x 2 2 1 3 2 113. ( ) − + x x 4 4 3 2 115. ( ) − x x 1 1 2 2 1 2 117. ( ) − + x x x 1 3 2 1 2 2 2 119. ( )( ) + + x x 1 2 5 2 1 1 2 121. ( )( ) − + x x x 2 3 4 1 1 2 123. ( ) ( ) + + x x 4 11 12 2 1 3 2 125. ( ) ( ) ( ) + + + x x x 3 5 2 3 17 27 1 3 1 2 127. ( ) +x x 3 2 2 1/2 129. 1.41 131. 1.59 133. 4.89 135. 2.15 137. (a) 15,660.4 gal (b) 390.7 gal 75. { } < ≤ x x 7 3 4 or ( ⎤ ⎦ ⎥ 7 3 , 4 7 3 4 77. { } ≤ ≤ x x 2 3 3 or ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ 2 3 , 3 3 2 3 79. { } − < < x x 11 2 1 2 or ( ) − 11 2 , 1 2 1 2 11 2 81. { } − < < x x 6 0 or ( ) −6, 0 6 0 99. { } ( ) ( ) <− > −∞ − ∪ ∞ x x x 4 or 4 ; , 4 4, –4 4 101. { } [ ] ≤ ≤ x x 0 1; 0,1 0 1 83. { } <− x x 5 or ( ) −∞ −, 5 5 85. { } ≥− x x 1 or [ ) − ∞ 1, 1 87. { } ≤ < x x 1 2 5 4 or ) ⎡ ⎣ ⎢ 1 2 , 5 4 1 2 5 4 89. { } <− x x 1 2 or ( ) −∞ −, 1 2 1 2 103. { } ( ) ( ) <− > −∞ − ∪ ∞ x x x 1 or 2 ; , 1 2, –1 2 105. { } [ ] − ≤ ≤ − x x 1 1 ; 1, 1 –1 1 91. { } ≤ < x x 3 14 1 4 or ) ⎡ ⎣ ⎢ 3 14 , 1 4 3 14 1 4 93. { } > x x 10 3 or ( )∞ 10 3 , 10 3 95. { } > x x 3 or ( )∞3, 3 97. { } ( ) − < < − x x 4 4; 4,4 –4 4 107. { } ( ] [ ) ≤− ≥ −∞ − ∪ ∞ x x x 2 or 2 ; , 2 2, –2 2
RkJQdWJsaXNoZXIy NjM5ODQ=