11. Let A = {3, 4, 5} and B = {4, 5, 6} and let S be the "divides" relation. That is, for every ordered pair (x, y) € A X В, x S y A x|y. State explicitly which ordered pairs are in S and S!.
11. Let A = {3, 4, 5} and B = {4, 5, 6} and let S be the "divides" relation. That is, for every ordered pair (x, y) € A X В, x S y A x|y. State explicitly which ordered pairs are in S and S!.
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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![**Question 11:**
Let \( A = \{3, 4, 5\} \) and \( B = \{4, 5, 6\} \) and let \( S \) be the "divides" relation. That is, for every ordered pair \((x, y) \in A \times B\),
\[ x \, S \, y \iff x \mid y. \]
State explicitly which ordered pairs are in \( S \) and \( S^{-1} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73f22fda-350d-4c0b-9260-2b8a3ecf6175%2F09b65daa-3046-457a-80fc-928688b42156%2Fiiedlmc_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 11:**
Let \( A = \{3, 4, 5\} \) and \( B = \{4, 5, 6\} \) and let \( S \) be the "divides" relation. That is, for every ordered pair \((x, y) \in A \times B\),
\[ x \, S \, y \iff x \mid y. \]
State explicitly which ordered pairs are in \( S \) and \( S^{-1} \).
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