A := {0, 3, 5, 6, 8} S := { (0 , 0), (0 , 6), (3 , 3), (5 , 5), (6 , 6) }  Discrete Math

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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A := {0, 3, 5, 6, 8}

S := { (0 , 0), (0 , 6), (3 , 3), (5 , 5), (6 , 6) } 

Discrete Math help

Let A be the set and S be the relation from exercise 7.
For each pair of distinct values a, b e A for which both (a S* b) and (b S* a ), eliminate the
pair where (a <b). (Note the relation we are looking at here is S*, not S.) Call the resulting
relation S".
Find T = S* U A. State your value here: T :=_
Determine if T'is a partial order on A. Show why or why not.
Transcribed Image Text:Let A be the set and S be the relation from exercise 7. For each pair of distinct values a, b e A for which both (a S* b) and (b S* a ), eliminate the pair where (a <b). (Note the relation we are looking at here is S*, not S.) Call the resulting relation S". Find T = S* U A. State your value here: T :=_ Determine if T'is a partial order on A. Show why or why not.
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