37. Express each of these statements using quantifiers. Then form the negation of the statement so that no negation is to the left of a quantifier. Next, express the negation in simple English. (Do not simply use the phrase "It is not the case that.") a) Every student in this class has taken exactly two math- ematics classes at this school. b) Someone has visited every country in the world ex- cept Libya. c) No one has climbed every mountain in the Himalayas. d) Every movie actor has either been in a movie with Kevin Bacon or has been in a movie with someone who has been in a movie with Kevin Bacon.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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37. Express each of these statements using quantifiers. Then
form the negation of the statement so that no negation is
to the left of a quantifier. Next, express the negation in
simple English. (Do not simply use the phrase "It is not
the case that.")
a) Every student in this class has taken exactly two math-
ematics classes at this school.
b) Someone has visited every country in the world ex-
cept Libya.
c) No one has climbed every mountain in the Himalayas.
d) Every movie actor has either been in a movie with
Kevin Bacon or has been in a movie with someone
who has been in a movie with Kevin Bacon.
Transcribed Image Text:37. Express each of these statements using quantifiers. Then form the negation of the statement so that no negation is to the left of a quantifier. Next, express the negation in simple English. (Do not simply use the phrase "It is not the case that.") a) Every student in this class has taken exactly two math- ematics classes at this school. b) Someone has visited every country in the world ex- cept Libya. c) No one has climbed every mountain in the Himalayas. d) Every movie actor has either been in a movie with Kevin Bacon or has been in a movie with someone who has been in a movie with Kevin Bacon.
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