A-8 ANSWERS 21. T T T T F T T T 22. T F T F F T T F 23. T T T F T T F T 24. F T T T T T T F 25. p q r ( ) → ∧ T F F F T T T T 26. p q r ( ) ↔ ∨ ∼ T T F T F T T T 27. p q r ( ) ↔ ∨ T T T F T F T T 28. p q r ( ) → ↔∼ F T T F F T F T 29. p q r ( ) ∼ → ∨ T T T T T T T F 30. p q r ( ) ∼⎡⎣ → ∼ ∧ ⎤⎦ T T F T F F F F 69. No, the statement only states what will occur if your sister gets straight A’s. If your sister does not get straight A’s, your parents may still get her a computer. 70. No, the statement only states what will occur if the interview goes well. If the interview does not go well, you may or may not be offered the job. 71. F F T T T F F F 72. T T T F T T T T 74. Allen was born in January. Booker was born in February. Chris was born in March. Dennis was born in April. 75. Tiger Boots Sam Sue Blue Yellow Pink Green Nine Lives Whiskas Friskies Meow Mix SECTION 3.4, PAGE 140 Answer to Recreational Math on page 133 22 4 45 11 14 15 12 22 14 17 16 15 30 9 17 17 45 9 2 1 1 1 8 5 8 8 9 2 2 1 1 7 6 9 2 4 3 5 1 3 8 2 1 9 3 4 6 7 7 9 4 7 2 5 1 7 8 6 9 6 3 9 9 8 3 8 3 7 9 9 6 8 4 1 4 3 8 1 2 6 4 19 17 9 15 3 16 17 7 33 13 6 6 11 1 5 26 6 28 3 15 14 12 16 8 5 30. If Phil buys us dinner, then it is false that we will go to the top of the CN Tower or we will not be able to walk to the Red Bistro Restaurant. 43. Converse: If you are on the president’s list, then you got straight A’s. Inverse: If you did not get straight A’s, then you are not on the president’s list. Contrapositive: If you are not on the president’s list, then you did not get straight A’s. 44. Converse: If we go sailing, then it is windy. Inverse: If it is not windy, then we do not go sailing. Contrapositive: If we do not go sailing, then it is not windy. 45. Converse: If I go shopping, then Kohl’s has a sale. Inverse: If Kohl’s does not have a sale, then I do not go shopping. Contrapositive: If I do not go shopping. then Kohl’s does not have a sale. 46. Converse: If you write a sonnet, then I write a haiku. Inverse: If I do not write a haiku, then you do not write a sonnet. Contrapositive: If you do not write a sonnet, then I do not write a haiku. 47. Converse: If I do not stay on my diet, then the menu includes calzones. Inverse: If the menu does not include calzones, then I stay on my diet. Contrapositive: If I stay on my diet, then the menu does not include calzones. 48. Converse: If we cannot go to the movie, then Grandma is not available to babysit. Inverse: If Grandma is available to babysit, then we can go to the movie. Contrapositive: If we can go to the movie, then Grandma is available to babysit.
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