How many elements are in the Cartesian product U x V? * Let U = {u is odd | 9 < u < 14} and V = {v € Z+ | 8 < v + 4 < 12}. Define a relation P from U to V as follows. Given any (u, v) E U x V, |3D 2и - v (u, v) E P means that is an integer. 2 4 6. 8 12
How many elements are in the Cartesian product U x V? * Let U = {u is odd | 9 < u < 14} and V = {v € Z+ | 8 < v + 4 < 12}. Define a relation P from U to V as follows. Given any (u, v) E U x V, |3D 2и - v (u, v) E P means that is an integer. 2 4 6. 8 12
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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Question
Transcribed Image Text:How many elements are in
the Cartesian product U x
V? *
Let U = {u is odd | 9 < u < 14} and V =
Define a relation P from U to V as follows. Given any (u, v) E U × V,
{v € Z* | 8< v +4 < 12}.
2u – v
(и, v) € Р
means that
is an integer.
4
6
8
12
This is a required question
Transcribed Image Text:Which of the following is
false? *
Let U = {u is odd | 9< u < 14} and V = {v € Z+ | 8 < v +4 < 12}.
Define a relation P from U to V as follows. Given any (u, v) E U × V,
2u – v
(и, v) € Р
means that
is an integer.
Elements of U are integers.
The ordered pair (11,10) is in
the relation P.
V has more elements than U.
11 is related to 6 by P.
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