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e
Homework 2
Directions:
Determine the answers to the questions below. Then open the EMCF eHomework02
on CourseWare (
http://www.casa.uh.edu
) and answer submit your answers no later than
Monday, February 1
st
at 11:59pm.
1.
Every nonempty subset of
ℜ
that is bounded above has a maximum element.
a.
True
b.
False
2.
The number 17/2
is an upper bound for the empty set.
a.
True
b.
False
3.
If a subset of
ℜ
has an upper bound, then it has infinity many upper bounds.
.
a.
True
b.
False
4.
Every nonempty subset of
`
has a largest element.
a.
True
b.
False
5.
Every nonempty subset of
`
that is bounded above has a largest element.
a.
True
b.
False
6.
What is the smallest upper bound of
2
1
n
n
n
⎧
⎫
∈
⎨
⎬
+
⎩⎭
`
?
a.
0
b.
1
c.
2
d.
½
e.
The set does not have a smallest upper bound.
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 Spring '08
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