Let RR be a binary relation on A={a,b,c}A={a,b,c} given by R={(a,a),(c,c),(a,b),(b,c),(b,a)}R={(a,a),(c,c),(a,b),(b,c),(b,a)}. Explain why: (a) RR is *not * reflexive. (b) RR is *not * symmetric. (c) RR is *not * transitive.

Let RR be a binary relation on A={a,b,c}A={a,b,c} given by R={(a,a),(c,c),(a,b),(b,c),(b,a)}R={(a,a),(c,c),(a,b),(b,c),(b,a)}. Explain why: (a) RR is not reflexive. (b) RR is not symmetric. (c) RR is not transitive.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 3E: a. Let R be the equivalence relation defined on Z in Example 2, and write out the elements of the...

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Question

Let RR be a binary relation on A={a,b,c}A={a,b,c} given by R={(a,a),(c,c),(a,b),(b,c),(b,a)}R={(a,a),(c,c),(a,b),(b,c),(b,a)}. Explain why:

(a) RR is *not * reflexive.

(b) RR is *not * symmetric.

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