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g) There is a faculty member who has asked every other faculty member a question. h) Some student has never been asked a question by a faculty member.

g) There is a faculty member who has asked every other faculty member a question. h) Some student has never been asked a question by a faculty member.

Elementary Geometry For College Students, 7e
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 16CT: Let P represent any statement. Classify as true or false. a P and P b P or P
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Part G H 

11. Let S(x) be the predicate "x is a student," F(x) the pred- icate "x is a faculty member," and A(x, y) the predicate "x has asked y a question," where the domain consists of all people associated with your school. Use quantifiers to express each of these statements. a) Lois has asked Professor Michaels a question. b) Every student has asked Professor Gross a question.
Transcribed Image Text:11. Let S(x) be the predicate "x is a student," F(x) the pred- icate "x is a faculty member," and A(x, y) the predicate "x has asked y a question," where the domain consists of all people associated with your school. Use quantifiers to express each of these statements. a) Lois has asked Professor Michaels a question. b) Every student has asked Professor Gross a question.
c) Every faculty member has either asked Professor Miller a question or been asked a question by Pro- fessor Miller. d) Some student has not asked any faculty member a question. e) There is a faculty member who has never been asked a question by a student. f) Some student has asked every faculty member a ques- tion. g) There is a faculty member who has asked every other faculty member a question. h) Some student has never been asked a question by a faculty member.
Transcribed Image Text:c) Every faculty member has either asked Professor Miller a question or been asked a question by Pro- fessor Miller. d) Some student has not asked any faculty member a question. e) There is a faculty member who has never been asked a question by a student. f) Some student has asked every faculty member a ques- tion. g) There is a faculty member who has asked every other faculty member a question. h) Some student has never been asked a question by a faculty member.
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