Let R be a relation on A = {0, 2, 7, 8} and R = {(7, 2), (8, 8), (8,0), (2, 7), (2, 2), (7,0)}. Are the following statements true or false? 1. R is an equivalence relation ? ? ? ? ? ? v V V V V 2. R is reflexive 3. R is transitive 4. R is anti-symmetric 5. R is a partial order 6. R is 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
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Let R be a relation on A = {0, 2, 7, 8} and R = {(7, 2), (8, 8), (8, 0), (2, 7), (2, 2), (7,0)}. Are the following statements true or false?
1. R is an equivalence relation
?
?
?
?
?
?
V
2. R is reflexive
✓ 3. R is transitive
4. R is anti-symmetric
5. R is a partial order
6. R is symmetric
Transcribed Image Text:Let R be a relation on A = {0, 2, 7, 8} and R = {(7, 2), (8, 8), (8, 0), (2, 7), (2, 2), (7,0)}. Are the following statements true or false? 1. R is an equivalence relation ? ? ? ? ? ? V 2. R is reflexive ✓ 3. R is transitive 4. R is anti-symmetric 5. R is a partial order 6. R is symmetric
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