2. Let R be a relation defined on the set of integers Z where a Rb if and only if a? = b° (mod 5). Determine whether R is an equivalence relation.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 18E: Let R be the relation defined on the set of integers by aRb if and only if ab. Prove or disprove...
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2. Let R be a relation defined on the set of integers Z where a Rb if and only if
a? = b? (mod 5) .
Determine whether R is an equivalence relation.
Transcribed Image Text:2. Let R be a relation defined on the set of integers Z where a Rb if and only if a? = b? (mod 5) . Determine whether R is an equivalence relation.
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