b) Let X = (x, y, z). Then show that A = {(x,x),(y,y),(z,z)} is an equivalence relation. Determine the partition of X by this equivalence relation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
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(b) Let X = (x, y, z). Then show that A = {(x,x),(y,y),(z, z)} is an
equivalence relation. Determine the partition of X by this
equivalence relation.
Transcribed Image Text:y² (b) Let X = (x, y, z). Then show that A = {(x,x),(y,y),(z, z)} is an equivalence relation. Determine the partition of X by this equivalence relation.
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