Let A = {4, 5, 6} and B = {6, 7, 8} and let S be the "divides" relation from A to B. That is, for every ordered pair  (x, y)  A ✕ B, x S y ⇔ x|y. Using set-roster notation, state explicitly which ordered pairs are in S and  S−1.  (Enter your answers as comma-separated lists of ordered pairs.)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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Let A = {4, 5, 6} and B = {6, 7, 8} and let S be the "divides" relation from A to B. That is, for every ordered pair 
(x, y)  A ✕ B,
x S y ⇔ x|y.
Using set-roster notation, state explicitly which ordered pairs are in S and 
S−1.
 (Enter your answers as comma-separated lists of ordered pairs.)
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