Logic & Set Theory; Boolean Algebra; Relations & Functions
ludyh6
wk2__math221.docxDiscussion
Logic & Set Theory; Boolean Algebra; Relations & Functions
1. Write 80- to 100-word short-answer response to the following:
Explain what it means for one set to be a subset of another set. How do you prove that one set is a subset of another set?
2. Write 80- to 100-word short-answer response to the following:
What is the empty set? Show that the empty set is a subset of every set.
3. Write 80- to 100-word short-answer response to the following:
What are the union, intersection, difference, and symmetric difference of the set of positive integers and the set of odd integers?
4. Write 80- to 100-word short-answer response to the following:
Describe as many of the ways as you can to show that two sets are equal.
5. Write 80- to 100-word short-answer response to the following:
Explain the relationship between logical equivalences and set identities
6. Write 80- to 100-word short-answer response to the following:
Define what it means for a function from the set of positive integers to the set of positive integers to be one-to-one.
7. Write 80- to 100-word short-answer response to the following:
Define what it means for a function from the set of positive integers to the set of positive integers to be onto.
APA format requires a concluding paragraph which sums up the whole paper.
Format your paper consistent with APA guidelines.
Discussion
Logic & Set Theory; Boolean Algebra; Relations & Functions
1.
Write
8
0
-
to
1
00
-
word short
-
answer response to the following
:
Explain what it means for one set to be a subset of another
set.
How do you prove tha
t
one set is a subset of another
set?
2.
Write
8
0
-
to
1
00
-
word short
-
answer response to the following:
What is the empty set? Show that the empty set is a subset
of every set.
3.
Write
80
-
to 1
00
-
word short
-
answer
response to the following:
What are the union, intersectio
n, difference, and symmetric
difference of the set of positive
integers and the
set of odd integers?
4.
Write
80
-
to 1
00
-
word short
-
answer response to the following:
Describe as many of the ways as you can to show that
two sets are equal.
5.
Write
80
-
to
1
00
-
word short
-
answer response to the following:
Explain the relation
ship between logical equivalences and
set identities
6.
Write
80
-
to
1
00
-
word short
-
answer response to the following:
Define what it mean
s for a function from the set of
positive integers to the set of positive integers
to be
one
-
to
-
one.
7.
Write
80
-
to 100
-
word short
-
answer response to the following:
Define what it means for a function from the set of
positive integers to the set of positive integers
to be
onto
.
APA format requires a
concluding paragraph which sums up the whole
paper
.
Format your paper consistent with APA guidelines.
Discussion
Logic & Set Theory; Boolean Algebra; Relations & Functions
1. Write 80- to 100-word short-answer response to the following:
Explain what it means for one set to be a subset of another set. How do you prove that
one set is a subset of another set?
2. Write 80- to 100-word short-answer response to the following:
What is the empty set? Show that the empty set is a subset of every set.
3. Write 80- to 100-word short-answer response to the following:
What are the union, intersection, difference, and symmetric difference of the set of positive
integers and the set of odd integers?
4. Write 80- to 100-word short-answer response to the following:
Describe as many of the ways as you can to show that two sets are equal.
5. Write 80- to 100-word short-answer response to the following:
Explain the relationship between logical equivalences and set identities
6. Write 80- to 100-word short-answer response to the following:
Define what it means for a function from the set of positive integers to the set of positive integers
to be one-to-one.
7. Write 80- to 100-word short-answer response to the following:
Define what it means for a function from the set of positive integers to the set of positive integers
to be onto.
APA format requires a concluding paragraph which sums up the whole paper.
Format your paper consistent with APA guidelines.
