Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows.For every (x, y) ∈ A ✕ B,(x, y) ∈ U means that y − x > 2,(x, y) ∈ V means that y − 1 = x2, andW = (2, 5), (4, 1), (2, 3) .Indicate whether any of the relations U, V, and W are functions. (Select all that apply.)U is a function.V is a function.W is a function.None of the relations are functions. Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows.%3DFor every (x, y) E A × B,(x, y) E U means that y – x > 2,(x, y) E V means that y – 1and2W == {(2, 5), (4, 1), (2, 3)}. Indicate whether any of the relations U, V, and W are functions. (Select all that apply.)O U is a function.O V is a function.O W is a function.O None of the relations are functions.

A function from a set X to a set Y is an assignment of an element of Y to each element of X. The set…

Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follo %3D For every (x, y) E A × B, (x, y) E U means that y – x > 2, (x, y) E V means that y – 1 and 2 W = = {(2, 5), (4, 1), (2, 3)}.

Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follo %3D For every (x, y) E A × B, (x, y) E U means that y – x > 2, (x, y) E V means that y – 1 and 2 W = = {(2, 5), (4, 1), (2, 3)}.

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

100%

Let

A = {2, 4}

and

B = {1, 3, 5}

and define relations U, V, and W from A to B as follows.

For every

(x, y) ∈ A ✕ B,

(x, y) ∈ U means that
y − x > 2,
(x, y) ∈ V means that
y − 1 =

x

2

,
and
W =

(2, 5), (4, 1), (2, 3)

.
Indicate whether any of the relations U, V, and W are functions. (Select all that apply.)

U is a function.V is a function.W is a function.None of the relations are functions.

Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows.
%3D
For every (x, y) E A × B,
(x, y) E U means that y – x > 2,
(x, y) E V means that y – 1
and
2
W =
= {(2, 5), (4, 1), (2, 3)}.

Indicate whether any of the relations U, V, and W are functions. (Select all that apply.)
O U is a function.
O V is a function.
O W is a function.
O None of the relations are functions.

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