Survey of Mathematics

A-6 ANSWERS SECTION 3.1, PAGE 104 39. Brie does not have a MacBook. 40. Joe does not have an iPad. 41. Joe has an iPad and Brie has a MacBook. 42. Brie has a MacBook or Joe has an iPad. 43. If Joe does not have an iPad then Brie has a MacBook. 44. Joe does not have an iPad if and only if Brie does not have a Macbook. 45. Joe does not have an iPad or Brie does not have a MacBook. 46. It is false that Brie has a MacBook or Joe has an iPad. 47. It is false that Joe has an iPad and Brie has a MacBook. 48. Joe does not have an iPad and Brie does not have a MacBook. 57. The water is ° 70 or the sun is shining, and we do not go swimming. 58. The water is ° 70 and the sun is shining, or we go swimming. 59. The water is not ° 70 , and the sun is shining or we go swimming. 60. If the sun is shining then the water is ° 70 , or we go swimming. 61. If we do not go swimming, then the sun is shining and the water is ° 70 . 62. If the sun is shining and we go swimming, then the water is ° 70 . 63. If the sun is shining then we go swimming, and the water is ° 70 . 64. If the water is not ° 70 , then the sun is shining or we go swimming. 65. The sun is shining if and only if the water is ° 70 , and we go swimming. 66. If the sun is shining, then the water is ° 70 if and only if we go swimming. 69. Not permissible; you cannot have both potatoes and pasta. The or used on menus is the exclusive or. 70. Not permissible; you cannot have both pasta and potatoes. The or used on the menu is the exclusive or. 82. 4 7 5 2 9 1 3 6 5 1 3 6 2 1 8 7 5 9 6 9 5 4 5 6 9 5 8 9 4 2 8 1 9 3 5 6 8 6 4 8 9 6 3 1 2 6 1 4 1 8 7 3 9 4 2 6 7 3 2 3 2 7 8 7 1 4 4 2 8 3 9 7 2 5 1 3 5 8 4 7 7 SECTION 3.2, PAGE 118 7. T F T T 8. F T T T 9. F T F F 10. F F F T 11. T F T T 12. F F T F 13. T T T T T F T T 14. F F F F T T T F 15. T F T T T F T F 16. T F T F F F T F 17. F T F T T T F T 18. F F T F T T T T 19. F F F 20. T T 21. T T F T 22. F F T F 23. T F T T 24. F T T T 25. F T F F 26. T T F T 27. F F T F F F F F 28. T F F F T T T T 29. T F T F T T T F 30. T F F F T F T F 31. T F T F T F T T 32. F F F F T T F T 33. p q ∧ T F F F 34. p q ∼ ∧ F F T F 35. p q ∨ ∼ T T F T 36. p q ∼ ∨ T F T T 37. p q ( ) ∼ ∼ ∧ T T F T 38. p q ( ) ∼ ∼ ∨ F T F F

RkJQdWJsaXNoZXIy NjM5ODQ=