Consider the relation S = {(w, x), (x, w), (x, y), (y, z)}. What self-composites Sn contain the pair (x, z)? (Asked another way: for what values of n is x the starting point and z the endpoint of a sequence of n pairs in S?) Check all that apply. a. S2 Ob. S4 OC. S O d. S3

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...
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Consider the relation
S = {(w, x), (x, w), (x, y), (y, z)}.
What self-composites Sn contain the pair (x, z)? (Asked another way: for what values of n is
x the starting point and the endpoint of a sequence of n pairs in S?) Check all that apply.
O a. S²
O b. S4
OC. S
O d. S³
Transcribed Image Text:Consider the relation S = {(w, x), (x, w), (x, y), (y, z)}. What self-composites Sn contain the pair (x, z)? (Asked another way: for what values of n is x the starting point and the endpoint of a sequence of n pairs in S?) Check all that apply. O a. S² O b. S4 OC. S O d. S³
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