Problem 1. Let ~ be an equivalence relation on a set S. 1.1. Let a € S, and suppose b€ S is a representative of [a]. Show that [a] = [b]. 1.2. Let a, b = S and suppose [a] = [b]. Show that [a] and [b] do not intersect: [a][b]=0.

Problem 1. Let ~ be an equivalence relation on a set S. 1.1. Let a € S, and suppose b€ S is a representative of [a]. Show that [a] = [b]. 1.2. Let a, b = S and suppose [a] = [b]. Show that [a] and [b] do not intersect: [a][b]=0.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 18E: Does the relation is a friend of have a reflexive property consider one person? A symmetric property...

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Question

Problem 1. Let ~ be an equivalence relation on a set S.
1.1. Let a € S, and suppose b€ S is a representative of [a]. Show that [a] = [b].
1.2. Let a, b = S and suppose [a] = [b]. Show that [a] and [b] do not intersect:
[a][b]=0.

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