Tell whether the given relation is reflexive, symmetric, transitive on the set of all people. Determine if the phrase is an equivalence relation. "is older than" Is the relation "is older than" reflexive? No Yes Is the relation "is older than" symmetric? No Yes Is the relation "is older than" transitive? 00 Yes No Is the relation an equivalence relation? Yes No

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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Tell whether the given relation is reflexive, symmetric, or transitive on the set of all people. Determine if the phrase is an equivalence relation.
"is older than"
Is the relation "is older than" reflexive?
No
Yes
Is the relation "is older than" symmetric?
No
Yes
Is the relation "is older than" transitive?
Yes
No
Is the relation an equivalence relation?
Yes
No
Transcribed Image Text:Tell whether the given relation is reflexive, symmetric, or transitive on the set of all people. Determine if the phrase is an equivalence relation. "is older than" Is the relation "is older than" reflexive? No Yes Is the relation "is older than" symmetric? No Yes Is the relation "is older than" transitive? Yes No Is the relation an equivalence relation? Yes No
Tell whether the given relation is reflexive, symmetric, or transitive on the set of all people. Determine if the phrase is an equivalence relation.
"is the same height as"
Is the relation "is the same height as" reflexive?
No
Yes
Is the relation "is the same height as" symmetric?
No
Yes
Is the relation "is the same height as" transitive?
Yes
No
Is the relation an equivalence relation?
Yes
No
Transcribed Image Text:Tell whether the given relation is reflexive, symmetric, or transitive on the set of all people. Determine if the phrase is an equivalence relation. "is the same height as" Is the relation "is the same height as" reflexive? No Yes Is the relation "is the same height as" symmetric? No Yes Is the relation "is the same height as" transitive? Yes No Is the relation an equivalence relation? Yes No
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