Solution Found!
Let G = {–2, 0, 2} and H = {4, 6, 8} and define a relation
Chapter 1, Problem 4E(choose chapter or problem)
Let G = {−2, 0, 2} and H = {4, 6, 8} and define a relation V from G to H as follows: For all \((x, y) \in G \times H\),
\((x, y) \in V\) means that \(\frac{x-y}{4}\) is an integer.
a. Is 2 V 6? Is (−2)V (−6)? Is \((0,6) \in V\)? Is \((2,4) \in V\)?
b. Write V as a set of ordered pairs.
c. Write the domain and co-domain of V.
d. Draw an arrow diagram for V.
Text Transcription:
(x, y) in G \times H
(x, y) in V
x-y/4
(0,6) in V
(2,4) in V
Questions & Answers
QUESTION:
Let G = {−2, 0, 2} and H = {4, 6, 8} and define a relation V from G to H as follows: For all \((x, y) \in G \times H\),
\((x, y) \in V\) means that \(\frac{x-y}{4}\) is an integer.
a. Is 2 V 6? Is (−2)V (−6)? Is \((0,6) \in V\)? Is \((2,4) \in V\)?
b. Write V as a set of ordered pairs.
c. Write the domain and co-domain of V.
d. Draw an arrow diagram for V.
Text Transcription:
(x, y) in G \times H
(x, y) in V
x-y/4
(0,6) in V
(2,4) in V
ANSWER:Solution:
Step 1
In this problem we need to solve the parts of the question.