For each of these relations on the set (1, 2, 3, 4), decide whether it is reflexive, symmetric, antisymmetric, or transitive. {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)) (Check all that apply.) Check All That Apply transitive symmetric antisymmetric reflexive none of these properties
For each of these relations on the set (1, 2, 3, 4), decide whether it is reflexive, symmetric, antisymmetric, or transitive. {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)) (Check all that apply.) Check All That Apply transitive symmetric antisymmetric reflexive none of these properties
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![## Required Information
**Note:** This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
### Instructions
For each of these relations on the set \(\{1, 2, 3, 4\}\), decide whether it is reflexive, symmetric, antisymmetric, or transitive.
**Relation:**
\[
\{(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)\}
\]
(Check all that apply.)
### Options
- [ ] Transitive
- [ ] Symmetric
- [ ] Antisymmetric
- [ ] Reflexive
- [ ] None of these properties](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0405dc91-666b-4d31-b943-06bf4fafc05b%2F57374ce4-250e-4cf9-aeb2-7fd3cbe13c80%2Fvqzqbil_processed.png&w=3840&q=75)
Transcribed Image Text:## Required Information
**Note:** This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
### Instructions
For each of these relations on the set \(\{1, 2, 3, 4\}\), decide whether it is reflexive, symmetric, antisymmetric, or transitive.
**Relation:**
\[
\{(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)\}
\]
(Check all that apply.)
### Options
- [ ] Transitive
- [ ] Symmetric
- [ ] Antisymmetric
- [ ] Reflexive
- [ ] None of these properties
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