Mathematics Homework Solutions
Problem
#45441

Relations on a Set : Symmetric Difference and Composite

Suppose that R and S are two relations on the set A = {a, b, c, d}, where R = {(a,b),(a,d),(b,c),(c,c),(d,a)}, and S = {(a,c),(b,d),(d,a)}.

Find each of the following relations:

a) R (+) S         (Symmetric Difference)

b) R^2

c) S^3

d) S o R            (Composite)


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Set relations are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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