8. Let Q(x, y) be the statement "Student z has been contestant on quiz show y." Express each of these sentences in terms of Q(x, y), quantifiers, and logical connectives, where the domain for a consists of all students at your school and for y consists of all quiz shows on television. (a) There is a student at your school who has been a contestant on a television quiz show. (b) No student at your school has ever been a contestant on a television quiz show. (c) There is a student at your school who has been contestant on Jeopardy! and on Wheel of Fortune (d) Every television quiz show has had a student from your school as a contestant. (e) At least two students from your school have been contestants on Jeopardy!

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...
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8. Let Q(x, y) be the statement "Student z has been contestant on quiz show y." Express each of these
sentences in terms of Q(x, y), quantifiers, and logical connectives, where the domain for a consists of all
students at your school and for y consists of all quiz shows on television.
(a) There is a student at your school who has been a contestant on a television quiz show.
(b) No student at your school has ever been a contestant on a television quiz show.
(c) There is a student at your school who has been contestant on Jeopardy! and on Wheel of Fortune
(d) Every television quiz show has had a student from your school as a contestant.
(e) At least two students from your school have been contestants on Jeopardy!
Transcribed Image Text:8. Let Q(x, y) be the statement "Student z has been contestant on quiz show y." Express each of these sentences in terms of Q(x, y), quantifiers, and logical connectives, where the domain for a consists of all students at your school and for y consists of all quiz shows on television. (a) There is a student at your school who has been a contestant on a television quiz show. (b) No student at your school has ever been a contestant on a television quiz show. (c) There is a student at your school who has been contestant on Jeopardy! and on Wheel of Fortune (d) Every television quiz show has had a student from your school as a contestant. (e) At least two students from your school have been contestants on Jeopardy!
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