1. Determine whether or not the relation R on the set of all people is reflexive, symmetric, antisymmetric, and/or transitive, where (a, b) eR if and only if a. a is no older than b. b. a plays the same musical instrument as b.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 17E: In each of the following parts, a relation R is defined on the power set (A) of the nonempty set A....
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1.
Determine whether or not the relation R on the set of all people is reflexive,
symmetric, antisymmetric, and/or transitive, where (a, b) e R if and only if
a. a is no older than b.
b. a plays the same musical instrument as b.
Transcribed Image Text:10 1. Determine whether or not the relation R on the set of all people is reflexive, symmetric, antisymmetric, and/or transitive, where (a, b) e R if and only if a. a is no older than b. b. a plays the same musical instrument as b.
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