Determine if the relation ? = {(f, g)|f(x) = g(x) for some x ∈ ℝ} on the set of all functions from ℝ to ℝ is an equivalence relation. If so, show why. If not, state which of theproperties it lacks.

Determine if the relation ? = {(f, g)|f(x) = g(x) for some x ∈ ℝ} on the set of all functions from ℝ to ℝ is an equivalence relation. If so, show why. If not, state which of theproperties it lacks.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 6E: In Exercises 610, a relation R is defined on the set Z of all integers, In each case, prove that R...

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Determine if the relation ? = {(f, g)|f(x) = g(x) for some x ∈ ℝ} on the set of all
functions from ℝ to ℝ is an equivalence relation. If so, show why. If not, state which of theproperties it lacks.

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