Let L(x, y) be the statement “x loves y.” where the domain

Chapter 7, Problem 9E

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QUESTION:

Let L(x, y) be the statement “x loves y.” where the domain for both x and y 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.________________j) There is someone who loves no one besides himself or herself.

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QUESTION:

Let L(x, y) be the statement “x loves y.” where the domain for both x and y 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.________________j) There is someone who loves no one besides himself or herself.

ANSWER:

Solution: Step 1 ; Let L(x, y) be the statement “x loves y.” where the domain for both x and y consists of all people in the world. Use quantifiers to express each of these statements.

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