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
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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
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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