What is a relation? What is Reflexivity What is Transitivity What is Symmetry

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 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...
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What is a relation?

What is Reflexivity

What is Transitivity

What is Symmetry

Expert Solution
Step 1

Relation:

A relation from a set A to a set B is an any subset of the Cartesian product AxB
If R is a relation from set A to set B and (x.y) is an element of R, then x is
related to y by the relation R and its notation is xRy or (x,y)R.
A relation from a set S to itself is called a relation on S.
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