In 1-8 a number of relations are defined on the set A = {0, 1, 2, 3}.For each relation:a.) Draw the directed graph.b.) Determine whether the relation is reflexive.c.) Determine whether the relation is symmetric.d.) Determine whether the relation is transitive.Give a counterexample in each case in which the relation does not satisfyone of the properties. 4. R4 = {(1, 2), (2, 1), (1, 3), (3, 1)} In 1-8 a number of relations are defined on the set A =(0, 1, 2, 3). For each relation:a. Draw the directed graph.b. Determine whether the relation is reflexive.c. Determine whether the relation is symmetric.d. Determine whether the relation is transitive.Give a counterexample in each case in which the relation doesnot satisfy one of the properties.

The given set is: A=0, 1, 2, 3 and the relation is: R4=1, 2, 2, 1, 1, 3, 3, 1. To Do: a.) Draw the…

In 1-8 a number of relations are defined on the set A = {0, 1, 2, 3}. For each relation: a.) Draw the directed graph. b.) Determine whether the relation is reflexive. c.) Determine whether the relation is symmetric. d.) Determine whether the relation is transitive. Give a counterexample in each case in which the relation does not satisfy one of the properties.

In 1-8 a number of relations are defined on the set A = {0, 1, 2, 3}. For each relation: a.) Draw the directed graph. b.) Determine whether the relation is reflexive. c.) Determine whether the relation is symmetric. d.) Determine whether the relation is transitive. Give a counterexample in each case in which the relation does not satisfy one of the properties.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

In 1-8 a number of relations are defined on the set A = {0, 1, 2, 3}.
For each relation:

a.) Draw the directed graph.
b.) Determine whether the relation is reflexive.
c.) Determine whether the relation is symmetric.
d.) Determine whether the relation is transitive.

Give a counterexample in each case in which the relation does not satisfy
one of the properties.

4. R4 = {(1, 2), (2, 1), (1, 3), (3, 1)}

In 1-8 a number of relations are defined on the set A =
(0, 1, 2, 3). For each relation:
a. Draw the directed graph.
b. Determine whether the relation is reflexive.
c. Determine whether the relation is symmetric.
d. Determine whether the relation is transitive.
Give a counterexample in each case in which the relation does
not satisfy one of the properties.

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