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

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