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e
Homework 3
Directions:
Determine the answers to the questions below. Then open the EMCF eHomework03
on CourseWare (
http://www.casa.uh.edu
) and submit your answers no later than Monday,
February 8
th
at 11:59pm.
1.
Every subset of
ℜ
has both a GLB and an LUB.
a.
True
b.
False
2.
Give the GLB of
(0,1).
a.
0
b.
1
c.
The set does not have a GLB.
3.
What is the supremum of
()
1
n
n
n
⎧⎫
−
⎪⎪
∈
⎨⎬
⎩⎭
`
?
a.
1
b.
0
c.
1
d.
½
e.
1/2
f.
None of these.
4.
Give the infimum of the solution set to
2
0
23
x
e
xx
<
−−
.
a.
0
b.
3
c.
2
d.
1
e.
1
f.
None of these.
5.
The GLB and supremum of a set are the same thing.
a.
True
b.
False
6.
The LUB and supremum of a set are the same thing.
a.
True
b.
False
7.
The GLB and infimum of a set are the same thing.
a.
True
b.
False
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The LUB and infimum of a set are the same thing.
a.
True
b.
False
9.
A nonempty subset of
ℜ
with finitely many elements will always have a largest and
smallest element.
a.
True
b.
False
10.
Give the GLB of
1
n
n
n
−
⎧⎫
∈
⎨⎬
⎩⎭
`
?
a.
0
b.
1
c.
2
d.
½
e.
The set does not have a GLB.
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This note was uploaded on 01/06/2011 for the course MATH 3333 taught by Professor Staff during the Spring '08 term at University of Houston.
 Spring '08
 Staff

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