11. Bobby joined the Army and he got married. 27. A panther does not have a long tail. Compound; conjunction. 28. A panther has a long tail and a bobcat can purr. 29. A bobcat cannot purr or a panther does not have a long tail 30. A bobcat cannot purr if and only if a panther does not have a long tail 31. If a panther does not have a long tail, then a bobcat cannot punt. 12. The book was neither a novel nor an autobiography. Compounds conjunction. 32. A bobcat cannot purr, but a panther has a long tail. 13. It Andres plays in the World Cup, then he will play for Spain. Compoved: conditional, In Exercises 33-38, write the statement in symbolic form. 14. Inhibor will be admitted to law school if and only if he carna his bachelor's degree. Compound: bicunditional, Let p: The chili is spicy. 15. It is false that Jeffery is a high school teacher and a grade q: The sour cream is cold. school teacher. Compound, ergotion, = 33. The sour cream is not cold if and only if the chili is spicy. 16. The hurricane did $400,000 worth of damage to DeSoto County. Simple statement 34. If the chili is spicy, then the sour cream is not cold. 35. The chili is not spicy, but the sour cream is cold. In Exercises 17-26, write the negation of the statement. 36. Neither is the chili spicy nor is the sour cream cold. 17, All Mustangs are Fords. 37, It is false that the chili is spicy or the sour cream is cold. 18. All houses are wired using parallel circuits. 38. It is false that if the sour cream is not cold then the chill is 19. Some turtles do not have claws spicy. 20. No Capricorns are Lens. In Exercises 39-48, write the compound statement in words. 21. No bicycles have three wheels. Let 12. All horses have manes. P. Joe has an iPad. q: Brie has a MacBook. 13. Some pedestrians are in the crosswalk. 14. Some teachers are not professors. 25. No mountain climbers are teachers. 40. -D 26. Some vitamins contain sugar. 41. p Aq 42. q V p * In Exercise: 27-32, write the statement in symbolic form. 43 -p-q" 44. -p+-q" Let 45. -PV-q" 46. - (4 VP) F: A panther has a long tail. 47. ~(PA q) 48. -PA-4" 4: A bobcat can purr. "See Instructor Answer AppendixIn Exerciser 49-56, write the statements in gumbolic form. 57. Soup, salad, and pens Not permissible. you cunt hme back pop and sybil The ar trial on menus in the arelaser ar. 68. Salad, pasta, and canots Pemisilake pt The temperature is 90. The air conditioner is working. 6. Soup, potatoes, pasta, and peas* The apartment is hot. 19, The temperature is 90" and the air conditioner is not 70. Soup, pasta, and potatoes working, and the apartment is hote In Exercises 71-79, (o) select letters to represent the rimple 541 The temperature is now 20" and the air conditioner is statements and write each scalessent symbolically by using working. but the apartment is hotes parentheses if necessary and (8) ladicare whether the state 51. The temperature is 90" and the air conditioner is working. ment is a organon, conjunction, chirjunction, conditional or the apartment is hole or biconditionad 51. If the temperature is 90', then the air conditioner is working 71. Johnny started the bonfire and Jaci did not forget the or the apartment is not hot 53. If the apartment is hot and the air conditioner is working, then the temperature is 90% 54. The temperature is not 90" if and only if the air conditioner is not working. of the sportment is not hot 55. The spariment is hot if and only if the wir conditioner is working, and the temperature is 90" 56. If the air conditioner is working, then the temperature is 90" if and only if the apartment is hot. In Exercises 57-65, write each rusbolic statement in words 71. If the meeting Is in Atlantic City, then we can see a show or we can go to the casino. she (, v .) by Condrind p: The water is 70". 73. It is false that if you work out then you will not gain 4: The sun is shining. weight. [w-+2) bi Nepation We go swimming. 57. (PV ) A -F. 56. (PA q) Vr 74. If dinner is ready then we can eat, or we cannot go to the restaurant of (d-+) Ver biDiyascion 51 -PA (qVr). 60. (q-+p) Vr= 61. -r-(4 AP) 62 (qAT)-P 75. If the food has fiber or the food has vitamins, then you will be healthy. (/vr)-+h bi Goodword (q=r) AP (4-p-(qVr) 65. (q+p) Are 6qu(per) 76. If Corliss is teaching then Faye is in the maths Job, if and only if it is not a weekend. aj (c-+/) +- bibixodocut Dinner Mere In Exercises 67-70 ine de following information to 77. You may take this course, if and only if you did not fail the previous course or you passed the placement test. monte mich as the following' All divers are served with a choice of sap or alot, and patron or pain, and carrots or peat Which of 78. If the car has gas and the battery is charged, then the car the following selections are peronicable? Ifa selection is not penis- will start. al (g A b)-F b) Conditional able explain why. See the diovision of the cacheive or on page 92 79, The classroom is empty if and only if it is the weekend, or it is 7 AM. a) ( + +it) V I bj Daijanation ANTIK LO'S RESTAURANTE Challenge Problems/Group Activities All darrisas 80. An Ancirat Question If Zeus could do anything, could with a clover: he build a wall that he could not jump over? Explain your areswer. Arwen will vary. "1. B) Make up three simple statements and label them p q. and r. Then write compound statements to represent [p Vg) A rand p V (q Ar). Armen will vary. bj Do you think that the statements for ( p V q) A r and p V (g A r) mean the same thing! Explain. Ammen will vary Ste Insinuize Arywar Apparelis