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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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