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
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ISBN:9780470458365
Author:Erwin Kreyszig
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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 \( S^{-1} \).
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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