A// Which of these relations on {0, 1 , 2, 3 } are equivalence relations, why? a) R1= {(0, 0), (1,1), (2, 2), (3 , 3)} b) R2= {(0, 0), (0, 2), (2, 0) , (2, 2), (2, 3), (3 , 2), (3 , 3)} c) R3= {(0, 0), (1,1), (1,2), (2, 1 ), (2, 2), (3 , 3)} d) R4= {(0, 0), ( 1 ,1), (1,3), (2, 2), (2, 3), (3 , 1 ), (3 , 2),(3 , 3)} e) R5={(0, 0), (0, 1 ), (0, 2), ( 1 , 0),(1,1),(1,2), (2, 0), (2, 2), (3 , 3)}

Principles of Information Systems (MindTap Course List)
12th Edition
ISBN:9781285867168
Author:Ralph Stair, George Reynolds
Publisher:Ralph Stair, George Reynolds
Chapter5: Database Systems And Applications
Section: Chapter Questions
Problem 4PSE: Using a graphics program, develop an entity-relationship diagram for a database application for an...
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A// Which of these relations on {0, 1, 2, 3 } are equivalence relations,
why?
a) R1= {(0, 0), (1,1), (2, 2), (3 , 3)}
b) R2= {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3 , 2), (3 , 3)}
c) R3= {(0, 0), (1,1), (1, 2), (2, 1 ), (2, 2), (3 , 3)}
d) R4= {(0, 0), ( 1,1), (1,3), (2, 2), (2, 3), (3 , 1 ), (3 , 2),(3 , 3)}
e) R5={(0, 0), (0, 1 ), (0, 2), ( 1 , 0),(1,1), (1, 2), (2, 0), (2, 2), (3 , 3)}
Transcribed Image Text:A// Which of these relations on {0, 1, 2, 3 } are equivalence relations, why? a) R1= {(0, 0), (1,1), (2, 2), (3 , 3)} b) R2= {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3 , 2), (3 , 3)} c) R3= {(0, 0), (1,1), (1, 2), (2, 1 ), (2, 2), (3 , 3)} d) R4= {(0, 0), ( 1,1), (1,3), (2, 2), (2, 3), (3 , 1 ), (3 , 2),(3 , 3)} e) R5={(0, 0), (0, 1 ), (0, 2), ( 1 , 0),(1,1), (1, 2), (2, 0), (2, 2), (3 , 3)}
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