Question: DISCRETE MATHEMATICS KNOWLEDGE A. Let L(x, y) be the statement *x loves y. where the domain for both x andy consists of all people in

DISCRETE MATHEMATICS

KNOWLEDGE A. Let L(x, y) be the statement *x loves y." where the domain for both x andy consists of all people in the world. Use quantifiers to express each of these statements. a) Everybody loves Jerry. b) Everybody loves somebody. c) There is somebody whom everybody loves. d) Nobody loves everybody. e) There is somebody whom Lydia does not love. f) There is somebody whom no one loves. g) There is exactly one person whom everybody loves. h) There are exactly two people whom Lynn loves, i) Everyone loves himself or herself. ) There is someone who loves no one besides himself or herself B. What rule of inference is used in each of these arguments? a) Alice is a mathematics major. Therefore, Alice is either a mathematics major or a computer science major. b) Jerry is a mathematics major and a computer science major. Therefore, Jerry is a mathematics major. c) If it is rainy, then the pool will be closed. It is rainy. Therefore, the pool is closed. d) If it rains today, the school will close. The school is not closed today. Therefore, it did not rain today. e) Steve will work at a computer company this summer. Therefore, this summer Steve will work at a computer company or he will be a beach bum

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