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with answers
Name:
SID:
If you have questions, come and ask me! I really really mean it!!!
1 [30%]. Let
S
be the set of students in the Knutson section of Math 109.
Let
T
be the set of all teaching assistants at UCSD. For
s
∈
S, t
∈
T
, write
t
helps
s
if the student
s
can seek help from the TA
t
(in
t
’s o±cial capacity).
Next to each of the following statements, write True or False.
1.
∃
s
∈
S
such that
∃
t
∈
T
such that
t
helps
s
True
2.
∀
s
∈
S,
∀
t
∈
T, t
helps
s
False
3.
∀
s
∈
S,
∃
t
∈
T
such that
t
helps
s
True
4.
∃
t
∈
T
such that
∀
s
∈
S, t
helps
s
True
5.
∃
s
∈
S
such that
∀
t
∈
T, t
helps
s
False
For each of the False statements above,
explain in English what they’re
asserting
, expressed in a way that makes it obvious that they’re false.
#2. Any student in this 109 class can legitimately seek help from any TA at
UCSD.
Not.
#5. There’s a student in this class that can legitimately seek help from any
TA at UCSD.
Not.
There were several people who misread the de²nition of
S
as “all students at
UCSD”, and got #4 wrong because of that. (#4 is true: the TA in question
is Ameera.) Many, many people did not properly follow the underlined text
above (but got most credit anyway).
1
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 Fall '06
 Knutson
 Math

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