Let R be a relation over a set A = {a,b,c,d}. What kind of order is R? Note: Select the order that it satisfies the most properties for. That is, if the relation is a partial order, then it's also technically a preorder; but partial order will be correct, and preorder will be an incorrect response. If the relation doesn't satisfy all of the properties for any of the listed orders, then select "None of these". R = {(a,a), (b,b), (c,c), (a,b), (c,d)} Preorder O Partial Order Strict Partial Order Total Order O None of these Strict Total Order Strict Preorder

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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Let R be a relation over a set A = {a,b,c,d}. What kind of order is R?
Note: Select the order that it satisfies the most properties for. That is, if the relation is a partial order,
then it's also technically a preorder; but partial order will be correct, and preorder will be an incorrect
response. If the relation doesn't satisfy all of the properties for any of the listed orders, then select
"None of these".
R = {(a,a), (b,b), (c,c), (a,b), (c,d)}
Preorder
O Partial Order
Strict Partial Order
Total Order
O None of these
Strict Total Order
Strict Preorder
Transcribed Image Text:Let R be a relation over a set A = {a,b,c,d}. What kind of order is R? Note: Select the order that it satisfies the most properties for. That is, if the relation is a partial order, then it's also technically a preorder; but partial order will be correct, and preorder will be an incorrect response. If the relation doesn't satisfy all of the properties for any of the listed orders, then select "None of these". R = {(a,a), (b,b), (c,c), (a,b), (c,d)} Preorder O Partial Order Strict Partial Order Total Order O None of these Strict Total Order Strict Preorder
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