Let R be a relation on A = {1, 2, 6,9} and R = {(1, 1), (2, 2), (6, 9), (6, 6), (1, 2), (2, 1), (9,9)}. Are the following statements true or false? ✓ 1. R is a partial order ? ? ? ? ? ? V 2. R is reflexive v V V 3. R is transitive 4. R is symmetric 5. R is an equivalence relation ✓ 6. R is anti-symmetric
Let R be a relation on A = {1, 2, 6,9} and R = {(1, 1), (2, 2), (6, 9), (6, 6), (1, 2), (2, 1), (9,9)}. Are the following statements true or false? ✓ 1. R is a partial order ? ? ? ? ? ? V 2. R is reflexive v V V 3. R is transitive 4. R is symmetric 5. R is an equivalence relation ✓ 6. R is anti-symmetric
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![Let R be a relation on A = {1, 2, 6, 9} and R = {(1, 1), (2, 2), (6, 9), (6, 6), (1, 2), (2, 1), (9, 9)}. Are the following statements true or false?
1. R is a partial order
?
?
?
?
?
?
V
V
2. R is reflexive
3. R is transitive
4. R is symmetric
5. R is an equivalence relation
6. R is anti-symmetric](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8fabc15-e5db-480c-94d9-e42b67b656a8%2F078e50b4-81bd-4083-9108-ca155b95da06%2F65c9xi6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let R be a relation on A = {1, 2, 6, 9} and R = {(1, 1), (2, 2), (6, 9), (6, 6), (1, 2), (2, 1), (9, 9)}. Are the following statements true or false?
1. R is a partial order
?
?
?
?
?
?
V
V
2. R is reflexive
3. R is transitive
4. R is symmetric
5. R is an equivalence relation
6. R is anti-symmetric
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