Given set B as B = {0,1,2,3,4}. Suppose set A is the relation and defined as a. A = {(x, y) E Z | xy 2 4)}. i. Identify the possible relation for the set A. ii. Determine the relation for the set A is reflexive or not? ii. Determine the relation for the set A is symmetric or not? iv. Determine the relation for the set A is transitive or not?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Given set B as B = {0,1,2,3,4}. Suppose set A is the relation and defined as
a.
A = {(x, y) e Z| xy 2 4)).
i. Identify the possible relation for the set A.
ii. Determine the relation for the set A is reflexive or not?
iii. Determine the relation for the set A is symmetric or not?
iv.
Determine the relation for the set A is transitive or not?
b.
Consider the following graph B in figure 1 below.
B
E
i. Identify the adjacency matrix associated to the graph B.
ii. Find the adjacency relation for the node in graph B.
iii. Examine and add any edge's necessary to make the binary relation represented
iv. Examine and add any edge's
the
graph is reflexive.
necessary in graph B to make the binary relation represented by the graph is symmetric.
Transcribed Image Text:Given set B as B = {0,1,2,3,4}. Suppose set A is the relation and defined as a. A = {(x, y) e Z| xy 2 4)). i. Identify the possible relation for the set A. ii. Determine the relation for the set A is reflexive or not? iii. Determine the relation for the set A is symmetric or not? iv. Determine the relation for the set A is transitive or not? b. Consider the following graph B in figure 1 below. B E i. Identify the adjacency matrix associated to the graph B. ii. Find the adjacency relation for the node in graph B. iii. Examine and add any edge's necessary to make the binary relation represented iv. Examine and add any edge's the graph is reflexive. necessary in graph B to make the binary relation represented by the graph is symmetric.
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