Consider a "square" S = {-2, -1, 0, 1,2} × {−2, − 1, 0, 1, 2}. Let (x, y) ~ (x', y') iff x+y=x′+|y'. It is an equivalence relation on S. (You don't need to prove it.) Write the elements of S/~

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 34E
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Consider a "square" S = {-2, -1, 0, 1,2} ×
{−2, − 1, 0, 1, 2}. Let (x, y) ~ (x', y') iff
x+y=x′+|y'. It is an equivalence
relation on S. (You don't need to prove it.)
Write the elements of S/~
Transcribed Image Text:Consider a "square" S = {-2, -1, 0, 1,2} × {−2, − 1, 0, 1, 2}. Let (x, y) ~ (x', y') iff x+y=x′+|y'. It is an equivalence relation on S. (You don't need to prove it.) Write the elements of S/~
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