Let R₁ = {(a, b) E P2: a divides b) and R₂ = {(a, b) E P²: a is a multiple of b) where P is the set of positive integer numbers. Find a) R₁ UR₂ b) R₁NR₂ c) R₁ R₂ d) R₂\R₁
Let R₁ = {(a, b) E P2: a divides b) and R₂ = {(a, b) E P²: a is a multiple of b) where P is the set of positive integer numbers. Find a) R₁ UR₂ b) R₁NR₂ c) R₁ R₂ d) R₂\R₁
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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en HW 4
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work 4 (Fall 21).pdf
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Problem 4.
Let R₁ = {(a, b) E P²: a divides b} and R₂ = {(a, b) E P²: a is a multiple of b} where P is
the set of positive integer numbers. Find
a) R₁ UR₂
b) R₁NR₂
c) R₁ R₂
d) R₂\R₁
Module 4 Discussion X
SEP
12
Problem 5.
a) Prove that the relation R on a set A is symmetric if and only if R = R-¹, where R-¹ is
the inverse relation of R.
b) Prove that the relation R on a set A is antisymmetric if and only if R n R-¹ is subset of
the relation A= {(a, a) | a € A}.
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Transcribed Image Text:e Edit View History Bookmarks Profiles Tab Window Help
en HW 4
fiu.instructure.com
work 4 (Fall 21).pdf
30%
F2
X
#3
#
Problem 4.
Let R₁ = {(a, b) E P²: a divides b} and R₂ = {(a, b) E P²: a is a multiple of b} where P is
the set of positive integer numbers. Find
a) R₁ UR₂
b) R₁NR₂
c) R₁ R₂
d) R₂\R₁
Module 4 Discussion X
SEP
12
Problem 5.
a) Prove that the relation R on a set A is symmetric if and only if R = R-¹, where R-¹ is
the inverse relation of R.
b) Prove that the relation R on a set A is antisymmetric if and only if R n R-¹ is subset of
the relation A= {(a, a) | a € A}.
20
F3
$
4
000
DOO
F4
%
5
Module 4 Discussion X
S
F5
^
6
MacBook Pro
F6
87
&
Module 4 Discussion X
◄◄
F7
*
8
► 11
F8
tv
Module 4 Discussion
►►
9
(
F9
2 Mon 8:
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1
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ZOOM
F10
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