For the following directed graph, do the following: 1. give (in set notation, e.g. { (a,b), (c,x), ...}) the set that corresponds to the graph expressed as a relation (set of ordered pairs). (8 pts) 2. is the relation reflexive? (2 pts) Why or why not? 3. is the relation symmetric? (2 pts) Why or why not? 4. is the relation transitive? (4 pts) Why or why not? a d f

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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For the following directed graph, do the following:
1. give (in set notation, e.g. { (a,b), (c,x), ...}) the set that corresponds to the graph expressed as a relation (set of ordered pairs). (8 pts)
2. is the relation reflexive? (2 pts) Why or why not?
3. is the relation symmetric? (2 pts) Why or why not?
4. is the relation transitive? (4 pts) Why or why not?
a
b
d
e
Transcribed Image Text:For the following directed graph, do the following: 1. give (in set notation, e.g. { (a,b), (c,x), ...}) the set that corresponds to the graph expressed as a relation (set of ordered pairs). (8 pts) 2. is the relation reflexive? (2 pts) Why or why not? 3. is the relation symmetric? (2 pts) Why or why not? 4. is the relation transitive? (4 pts) Why or why not? a b d e
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