esentation for each relation. resentation for each relation. berties of each relation.

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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1. Consider the set S = {0, 1, 2, 3, 4, 5, 6} and the relations
R1 = {(a,b): a,bE S, a > b}, and R2 =
{(a,b): a,b e S, max(a + b, ab) = 3 or 6}:
(a) Give a matrix representation for each relation.
(b) Give a digraph representation for each relation.
(c) Determine the properties of each relation.
(d) Which relation is a partial order, an equivalence relation or neither?
Transcribed Image Text:1. Consider the set S = {0, 1, 2, 3, 4, 5, 6} and the relations R1 = {(a,b): a,bE S, a > b}, and R2 = {(a,b): a,b e S, max(a + b, ab) = 3 or 6}: (a) Give a matrix representation for each relation. (b) Give a digraph representation for each relation. (c) Determine the properties of each relation. (d) Which relation is a partial order, an equivalence relation or neither?
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