What are the elements of the Cartesian product U x V? * {v € Z* | 8 < v + 4 < 12}. Define a relation P from U to V as follows. Given any (u, v) E U × V, Let U = {u is odd | 9< u < 14} and V = 2u – v (u, v) E P is an integer. 2 means that U x V = {(10,5), (10,6), (10,7), (12,5), (12,6), (12,7)} U x V = {(11,5), (11,6), (11,7), (13,5), (13,6), (13,7)} U x V = {(10,9), (10,10), (10,11), (12,9), (12,10), (12,11)} U x V = {(11,9), (11,10), (11,11), (13,9), (13,10), (13,11)}
What are the elements of the Cartesian product U x V? * {v € Z* | 8 < v + 4 < 12}. Define a relation P from U to V as follows. Given any (u, v) E U × V, Let U = {u is odd | 9< u < 14} and V = 2u – v (u, v) E P is an integer. 2 means that U x V = {(10,5), (10,6), (10,7), (12,5), (12,6), (12,7)} U x V = {(11,5), (11,6), (11,7), (13,5), (13,6), (13,7)} U x V = {(10,9), (10,10), (10,11), (12,9), (12,10), (12,11)} U x V = {(11,9), (11,10), (11,11), (13,9), (13,10), (13,11)}
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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Transcribed Image Text:What are the elements of
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 × V,
2и — v
(и, о) € Р
means that.
is an integer.
Ux V = {(10,5), (10,6), (10,7),
(12,5), (12,6), (12,7)}
U x V = {(11,5), (11,6), (11,7),
(13,5), (13,6), (13,7)}
Ux V = {(10,9), (10,10), (10,11),
(12,9), (12,10), (12,11)}
Ux V = {(11,9), (11,10), (11,11),
(13,9), (13,10), (13,11)}
This is a required question
Transcribed Image Text:What are the elements of
int
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 × V,
2u – v
(u, v) E P means that
is an integer.
2
V = {5, 6, 7}
O V= {9, 10, 11}
O V = {1, 2, 3}
O v = {4, 6, 8, 10}
ООО
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