9. Let R be the relation defind on NxN by (m)R(m2) if and only if m1 – n1 = m2 – n2. Describe the set [(0,0)], i.e., the equivalence class of (0,0).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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9. Let R be the relation defind on N x N by (mn1)R(m2.n2) if and only if m1 – ni = m2 – n2. Describe the
set [(0,0)], i.e., the equivalence class of (0,0).
Transcribed Image Text:9. Let R be the relation defind on N x N by (mn1)R(m2.n2) if and only if m1 – ni = m2 – n2. Describe the set [(0,0)], i.e., the equivalence class of (0,0).
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