### Question 6Let $ A = \{4, 5, 6\} $ and $ B = \{3, 6, 7\} $. Define relations $ U $, $ V $, and $ W $ from $ A $ to $ B $ as follows:For all $ (x, y) \in A \times B $,\[ (x, y) \in U \iff x > y \]\[ (x, y) \in V \iff \frac{x - y}{2} \ \text{is an integer.} \]\[ W = \{(4, 7), (6, 3), (5, 6)\} \]Indicate whether any of the relations $ U $, $ V $, and $ W $ are functions from $ A $ to $ B $.

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6) Let A = {4,5,6} and B {3,6,7}. Define relations U, V, and W from A to B as follows, For all (x, y) € A× B, (x, y) eU x> y x- y (x, y) e V , is an integer. W = {(4,7), (6,3), (5,6)} Indicate whether any of the relations U, V, and W are functions from A to B.

6) Let A = {4,5,6} and B {3,6,7}. Define relations U, V, and W from A to B as follows, For all (x, y) € A× B, (x, y) eU x> y x- y (x, y) e V , is an integer. W = {(4,7), (6,3), (5,6)} Indicate whether any of the relations U, V, and W are functions from A to B.

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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