ANSWERS A-7 39. p q r ( ) ∼ ∧ ∨ T F T F T T T F 40. p q r ( ) ∨ ∧ ∼ F T F T F T F F 67. p q ∧ ∼ F T F F True in case 2 68. p q ∼ ∧ F F T F True in case 3 69. p q ∨ ∼ T T F T True in cases 1, 2, and 4 70. p q ∼ ∨ ∼ F T T T True in cases 2, 3, and 4 71. r q p ( ) ∨ ∧ T T T F F F F F True in cases 1, 2, and 3 72. p q r ( ) ∧ ∨ T T T F T F T F True in cases 1, 2, 3, 5, and 7 73. q p r ( ) ∨ ∧ ∼ T T F T T T F F True in cases 1, 2, 4, 5, and 6 74. p r q ( ) ∼ ∧ ∼ ∧ F F F F F T F F True in case 6 75. a) Jasper and Lanny qualify. b) Bridgett and Brandon do not qualify, since their combined income is less than $46,000. 76. a) Steve and Riley qualify. b) Toni does not qualify, since they are single and their income is less than $30,000. Sarah and Janine do not qualify since their assets are less than $10,000. 80. b) p q r s T T T T T T T F T T F T T T F F T F T T T F T F T F F T T F F F F T T T F T T F F T F T F T F F F F T T F F T F F F F T F F F F c) T T T T F F T F F F T F F F T F d) F F F T F F F F F F F T F F F T SECTION 3.3, PAGE 128 7. T T T F 8. F T T T 9. T F F F 10. T F F T 11. T F F F 12. T T T F 13. T T F T 14. T T F T 15. F T T F 16. T F F T 17. T T T T T F F F 18. T F T F T F F F 19. T T T F F F F T 20. F T T T T T F T 77. b) Gina is returning on April 3. Kara is returning on a Monday. Christos is not staying over on a Saturday. Chang is returning on a Monday. 78. F T T T F T F F 79. T T T T F T F T
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