Name:
Math 100
Quiz 1
October 17, 2007
Instructions:
Please answer the following questions clearly, concisely and neatly. Partial credit will be
given on Problems 4, 5, and 6. In addition, points may be deducted for disorganized or illegible responses.
All proofs should be written in
complete sentences
with correct English grammar and punctuation. Avoid
abbreviating English words when possible.
Question:
1
2
3
4
5
6
Total
Points:
1
1
2
2
2
2
10
Score:
1. (1 point) Is the following sentence true or false? Only the answer – true or false – will be graded.
∀
x
∈
Z
,
∃
y
∈
R
,
such that
y
3
+
y
=
x.
Solution:
True.
2. (1 point) Is the following sentence true or false? Only the answer – true or false – will be graded.
∃
x
∈
R
,
such that
∀
a
∈
Z
,x
2
6
=
a.
Solution:
True.
3. (2 points) Let
A
=
{
1
,
4
,
9
,
16
,
25
}
.
Let
B
=
{
5
,
10
,
15
,
20
,
25
}
.
Let
C
=
{
3
,
6
,
9
,
12
,
15
,
18
,
21
,
24
}
.
Describe the two sets below. For example, to describe the set
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 Fall '08
 Weissman
 Addition, Intermediate Value Theorem, Rational number

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