5. Using the sets A = {1,2,3}, B = {3,4,5), and C = {2,4,6} and the operations U (union), n (intersection) and (set difference), write down an expression that gives the set {2,3,4,5).
5. Using the sets A = {1,2,3}, B = {3,4,5), and C = {2,4,6} and the operations U (union), n (intersection) and (set difference), write down an expression that gives the set {2,3,4,5).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 7E: Let ij denote the Kronecker delta: ij=1 if i=j, and ij=0 if ij. Find the value of the following...
Related questions
Question
Help me with 5, pls
![1:33 1 20.
←
proof-hw1.pdf
by Ø, Z, {0, 1), and [0, 1].
4. Find all subsets of S = {0, 1, {0, 1}} which are not also elements of S.
(Another way of writing this problem could be "List all the elements of P(S)-S".)
5. Using the sets A = {1,2,3}, B = {3,4,5}, and C = {2,4,6} and the operations U (union),
n (intersection) and - (set difference), write down an expression that gives the set
{2,3,4,5).
6. A subset of the number line is drawn below and continues by the same pattern indefi-
nitely to the right.
-3 -2 -1
+
0
1
Đ
2
|||
3
B
Write down an expression for this set in the form U
NEN
1
✪
4
5
5G .ll 39%
A
6
O
7
Đ
8
7. Let A = [0,2), B = (1,3], and C = (2,00). In each region of a Venn diagram such as the one
drawn below, write down the set of all real numbers that belong in that region. (They
are all either intervals, sets with only one element, or the empty set.)
A
9
Đ
10
8. Let A = {1,2}. List the elements of A x P(A).
9. Let P denote the open sentence "x € A" and let denote the open sentence "x € B".
(a) Write "x € A -B" in terms of P and Q, using logical operations to connect them.
(b) Suppose that P⇒ is true for any x. What is the relationship between sets A
and B?
10. Write the sentences below either in the form "If P, then Q" without changing the mean-
ing.
(a) Only the good die young.
(b) You must be this tall in order to go on this ride.
(c) You can't make an omelet without breaking a few eggs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F232028c3-8426-43ce-b04a-a507a5240356%2Fd0fd1a73-cd00-4724-b822-30c043851b92%2Fwfy3vt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1:33 1 20.
←
proof-hw1.pdf
by Ø, Z, {0, 1), and [0, 1].
4. Find all subsets of S = {0, 1, {0, 1}} which are not also elements of S.
(Another way of writing this problem could be "List all the elements of P(S)-S".)
5. Using the sets A = {1,2,3}, B = {3,4,5}, and C = {2,4,6} and the operations U (union),
n (intersection) and - (set difference), write down an expression that gives the set
{2,3,4,5).
6. A subset of the number line is drawn below and continues by the same pattern indefi-
nitely to the right.
-3 -2 -1
+
0
1
Đ
2
|||
3
B
Write down an expression for this set in the form U
NEN
1
✪
4
5
5G .ll 39%
A
6
O
7
Đ
8
7. Let A = [0,2), B = (1,3], and C = (2,00). In each region of a Venn diagram such as the one
drawn below, write down the set of all real numbers that belong in that region. (They
are all either intervals, sets with only one element, or the empty set.)
A
9
Đ
10
8. Let A = {1,2}. List the elements of A x P(A).
9. Let P denote the open sentence "x € A" and let denote the open sentence "x € B".
(a) Write "x € A -B" in terms of P and Q, using logical operations to connect them.
(b) Suppose that P⇒ is true for any x. What is the relationship between sets A
and B?
10. Write the sentences below either in the form "If P, then Q" without changing the mean-
ing.
(a) Only the good die young.
(b) You must be this tall in order to go on this ride.
(c) You can't make an omelet without breaking a few eggs.
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