The domain of relation R is ZxZ. (a, b) is related to (c, d) if a s c and b s d. Which statement correctly characterizes the relation R? O Ris not an equivalence relation because R is not transitive. O Ris not an equivalence relation because R is not symmetric. Ris an equivalence relation. Ris not an equivalence relation because R is not reflexive.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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The domain of relation R is ZxZ. (a, b) is related to (c, d) if a s c and b s d. Which statement correctly characterizes
the relation R?
O R is not an equivalence relation because R is not transitive.
O Ris not an equivalence relation because R is not symmetric.
O Ris an equivalence relation.
Ris not an equivalence relation because R is not reflexive.
Transcribed Image Text:The domain of relation R is ZxZ. (a, b) is related to (c, d) if a s c and b s d. Which statement correctly characterizes the relation R? O R is not an equivalence relation because R is not transitive. O Ris not an equivalence relation because R is not symmetric. O Ris an equivalence relation. Ris not an equivalence relation because R is not reflexive.
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