Kenneth h rosen chapter 1 section 1.5 question 8
in Mathematical Logic
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Let Q(x, y) be the statement “student x has been a con-
testant on quiz show y.” Express each of these sentences
in terms of Q(x, y), quantifiers, and logical connectives,
where the domain for x 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 con-
testant 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 a con-
testant 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 con-
testants on Jeopardy.
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