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let S be the set of all dogs, and define the relation R on S such that (a, b) = R if b and a have exactly one common biological parent. (a) Is the relation R reflexive, antireflexive, symmetric, antisymmetric, and/or transitive? Can you explain why? (b) Is R a partial order, a graph, an equivalence relation, or none of the above? Briefly explain.

let S be the set of all dogs, and define the relation R on S such that (a, b) = R if b and a have exactly one common biological parent. (a) Is the relation R reflexive, antireflexive, symmetric, antisymmetric, and/or transitive? Can you explain why? (b) Is R a partial order, a graph, an equivalence relation, or none of the above? Briefly explain.

Algebra and Trigonometry (6th Edition)
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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let S be the set of all dogs, and define the relation R on S such that (a, b) = R if b and a have exactly one common biological parent. (a) Is the relation R reflexive, antireflexive, symmetric, antisymmetric, and/or transitive? Can you explain why? (b) Is R a partial order, a graph, an equivalence relation, or none of the above? Briefly explain.
Transcribed Image Text:let S be the set of all dogs, and define the relation R on S such that (a, b) = R if b and a have exactly one common biological parent. (a) Is the relation R reflexive, antireflexive, symmetric, antisymmetric, and/or transitive? Can you explain why? (b) Is R a partial order, a graph, an equivalence relation, or none of the above? Briefly explain.
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