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 \((x, y) \in A \times B\),\[ x \, S \, y \iff x \mid y. \]Which ordered pairs are in \( S \) and which are in \( S^{-1} \)? (Enter your answers in set-roster notation.)\[ S = \text{{ }} \]\[ S^{-1} = \text{{ }} \]

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Answered: Let A = {4, 5, 6} and B = {6, 7, 8},…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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) EAx B, x Sy A x|y. Which ordered pairs are in S and which are in s-1? (Enter your answers in set-roster notation.) S = s-1