Solution Found!
Let E = {1, 2, 3} and F = {–2, -1,0} and define a relation
Chapter 1, Problem 3E(choose chapter or problem)
Let E = {1, 2, 3} and F = {−2,−1, 0} and define a relation T from E to F as follows: For all \((x, y) \in E \times F\),
\((x, y) \in T\) means that \(\frac{x-y}{3}\) is an integer.
a. Is 3 T 0? Is 1T (−1)? Is \((2,-1) \in T\)? Is \((3,-2) \in T\)?
b. Write T as a set of ordered pairs.
c. Write the domain and co-domain of T.
d. Draw an arrow diagram for T.
Text Transcription:
(x, y) in E times F
(x, y) in T
x-y/3
(2,-1) in T
(3,-2) in T
Questions & Answers
QUESTION:
Let E = {1, 2, 3} and F = {−2,−1, 0} and define a relation T from E to F as follows: For all \((x, y) \in E \times F\),
\((x, y) \in T\) means that \(\frac{x-y}{3}\) is an integer.
a. Is 3 T 0? Is 1T (−1)? Is \((2,-1) \in T\)? Is \((3,-2) \in T\)?
b. Write T as a set of ordered pairs.
c. Write the domain and co-domain of T.
d. Draw an arrow diagram for T.
Text Transcription:
(x, y) in E times F
(x, y) in T
x-y/3
(2,-1) in T
(3,-2) in T
ANSWER:Solution:Step 1In this problem we need to solve the given parts of the given question.