Let A = {2, 4} and B = {1, 3, 5} and define relations U,

Chapter 1, Problem 8E

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QUESTION:

Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all \((x, y) \in A \times B\),

\((x, y) \in U\) means that y - x > 2.

\((x, y) \in V\) means that \(y-1=\frac{x}{2}\).

W = {(2, 5), (4, 1), (2, 3)}.

Text Transcription:

(x, y) in A times B

(x, y) in U

(x, y) in V

y - 1 = x/2

Questions & Answers

QUESTION:

Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all \((x, y) \in A \times B\),

\((x, y) \in U\) means that y - x > 2.

\((x, y) \in V\) means that \(y-1=\frac{x}{2}\).

W = {(2, 5), (4, 1), (2, 3)}.

Text Transcription:

(x, y) in A times B

(x, y) in U

(x, y) in V

y - 1 = x/2

ANSWER:

Solution:

Step 1:

a)In this problem we need to draw arrow diagrams for U,V, and W.

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