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Webpage for Set Theory & Algebra:
Recent questions tagged set-theory&algebra
1
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91
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
260
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
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1
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2
answers
92
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
385
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GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
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1
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1
answer
93
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
351
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
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1
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1
answer
94
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
265
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
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1
votes
1
answer
95
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
324
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GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
+
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2
votes
1
answer
96
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
167
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
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1
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0
answers
97
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
199
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GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
equivalence-relation
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1
votes
0
answers
98
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
137
views
GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
partial-order
+
–
1
votes
1
answer
99
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
175
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GO Classes
asked
May 28, 2023
Set Theory & Algebra
goclasses-practice-set1
set-theory&algebra
relations
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0
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0
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100
Hasse Diagram
Çșȇ ʛấẗẻ
295
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Çșȇ ʛấẗẻ
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May 11, 2023
Mathematical Logic
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