Login
Register
Dark Mode
Brightness
Profile
Edit Profile
Messages
My favorites
My Updates
Logout
Webpage for Set Theory & Algebra:
Recent questions tagged set-theory&algebra
1
votes
1
answer
91
GO Classes Set Theory And Algebra Practice Set 1 | Question: 15
Let $R \subseteq \mathbb{N} \times \mathbb{N}$ be a relation ( $a$ binary relation) on the set of natural numbers defined as follows: $ (x, y) \in R \Leftrightarrow x+y \geq 18 \text {. } $ is $R$ reflexive ... . is R symmetric? Prove your answer. Is $R$ antisymmetric? Prove your answer. Is $\mathrm{R}$ transitive? Prove your answer.
Let $R \subseteq \mathbb{N} \times \mathbb{N}$ be a relation ( $a$ binary relation) on the set of natural numbers defined as follows:$$(x, y) \in R \Leftrightarrow x+y \g...
GO Classes
298
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
+
–
1
votes
1
answer
92
GO Classes Set Theory And Algebra Practice Set 1 | Question: 16
Among reflexive, symmetric, antisymmetric, and transitive, which of those properties are true of the above relation? It is both reflexive and symmetric It is only reflexive It is only antisymmetric It is both reflexive and transitive
Among reflexive, symmetric, antisymmetric, and transitive, which of those properties are true of the above relation?It is both reflexive and symmetricIt is only reflexive...
GO Classes
271
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
+
–
1
votes
2
answers
93
GO Classes Set Theory And Algebra Practice Set 1 | Question: 17
Among reflexive, symmetric, antisymmetric, and transitive, which of those properties are true of the above relation? It is both symmetric and transitive It is both reflexive and transitive It is reflexive, antisymmetric, and transitive It is both reflexive and antisymmetric
Among reflexive, symmetric, antisymmetric, and transitive, which of those properties are true of the above relation?It is both symmetric and transitiveIt is both reflexiv...
GO Classes
386
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
+
–
1
votes
1
answer
94
GO Classes Set Theory And Algebra Practice Set 1 | Question: 18
Among reflexive, symmetric, antisymmetric, and transitive, which of those properties are true of the above relation? It is only reflexive It is reflexive, symmetric, and transitive It is both reflexive and antisymmetric It is both reflexive and symmetric
Among reflexive, symmetric, antisymmetric, and transitive, which of those properties are true of the above relation?It is only reflexiveIt is reflexive, symmetric, and tr...
GO Classes
363
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
+
–
1
votes
1
answer
95
GO Classes Set Theory And Algebra Practice Set 1 | Question: 19
Among reflexive, symmetric, antisymmetric, and transitive, which of those properties are true of the above relation? It is only transitive It is both antisymmetric and transitive It is both reflexive and transitive It has none of those properties
Among reflexive, symmetric, antisymmetric, and transitive, which of those properties are true of the above relation?It is only transitiveIt is both antisymmetric and tran...
GO Classes
271
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
+
–
1
votes
1
answer
96
GO Classes Set Theory And Algebra Practice Set 1 | Question: 20
Let $R$ be the relation on $M=\{1,2,3\}$ with the following diagraph representation: Then $R$ is not reflexive, not symmetric, and not transitive $R$ is transitive but not reflexive $R$ is an equivalence relation $R$ is symmetric but not transitive $R$ is reflexive but not symmetric
Let $R$ be the relation on $M=\{1,2,3\}$ with the following diagraph representation:Then$R$ is not reflexive, not symmetric, and not transitive$R$ is transitive but not r...
GO Classes
330
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
+
–
2
votes
1
answer
97
GO Classes Set Theory And Algebra Practice Set 1 | Question: 21
Define the relation $\mathrm{O}$ on $\mathrm{Z}$ as follows: $ \forall m, n \in Z, m O n \longleftrightarrow \exists k \in Z \mid(m-n)=2 k+1 $ ... $\mathrm{O}$ is not reflexive, symmetric, and not transitive.
Define the relation $\mathrm{O}$ on $\mathrm{Z}$ as follows:$$\forall m, n \in Z, m O n \longleftrightarrow \exists k \in Z \mid(m-n)=2 k+1$$Which one of the following st...
GO Classes
171
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
+
–
1
votes
0
answers
98
GO Classes Set Theory And Algebra Practice Set 1 | Question: 22
Given the relation $R=\{(n, m)|n, m \in \mathbb{Z}| n,|\neq| m \mid\}$. Which of the following statements about $R$ is correct? $R$ is not an equivalence relation because it is not reflexive or ... relation because it is not antisymmetric $R$ is not an equivalence relation because it is not symmetric $R$ is an equivalence relation
Given the relation $R=\{(n, m)|n, m \in \mathbb{Z}| n,|\neq| m \mid\}$. Which of the following statements about $R$ is correct?$R$ is not an equivalence relation because ...
GO Classes
202
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
equivalence-relation
+
–
1
votes
0
answers
99
GO Classes Set Theory And Algebra Practice Set 1 | Question: 23
Determine whether the following relations are reflexive, symmetric, antisymmetric, and/or transitive: The empty relation $\text{R}=\{\}$ is defined on the natural numbers. The complete relation $\mathrm{R}=\mathbf{N} \times \mathbf{N}$ defined on the ... $\mathrm{R}$ on the integers where $a\text{R}b$ means $a^2=b^2$.
Determine whether the following relations are reflexive, symmetric, antisymmetric, and/or transitive:The empty relation $\text{R}=\{\}$ is defined on the natural numbers....
GO Classes
148
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
+
–
1
votes
1
answer
100
GO Classes Set Theory And Algebra Practice Set 1 | Question: 24
For each of the following relations $R$ on the set of real numbers, decide whether it is reflexive, symmetric, and/or transitive? Justify your arguments. Is the relation an equivalence relation? Explain. $(x, y) \in R$ if and only if $|x-y| \leq 3$ ... $(x, y) \in R$ if and only if $|x+y|=|x|+|y|$.
For each of the following relations $R$ on the set of real numbers, decide whether it is reflexive, symmetric, and/or transitive? Justify your arguments. Is the relation ...
GO Classes
184
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
+
–
0
votes
0
answers
101
Hasse Diagram
Çșȇ ʛấẗẻ
299
views
Çșȇ ʛấẗẻ
asked
May 11, 2023
Mathematical Logic
hasse-diagram
set-theory&algebra
lattice
graph-theory
+
–
Page:
« prev
1
2
3
4
5
6
7
8
9
...
40
next »
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register