Which one of the following is not a partial order relation? (a) The relation defined by r | y e y = kx for some integer k on the set Z+ (b) The relation defined by A C B (Va)(a e A = a e B) on any collection S of sets. (c) The relation S defined by rSy + r < y on the set of all real numbers R (d) The relation R defined by mRn + m +n is odd on the set Z of all integers.
Which one of the following is not a partial order relation? (a) The relation defined by r | y e y = kx for some integer k on the set Z+ (b) The relation defined by A C B (Va)(a e A = a e B) on any collection S of sets. (c) The relation S defined by rSy + r < y on the set of all real numbers R (d) The relation R defined by mRn + m +n is odd on the set Z of all integers.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Which one of the following is not a partial order relation?
(a) The relation defined by r | y + y = kæ for some integer k on the set
z+
(b) The relation defined by A C B e (Va)(a E A = a € B) on any
collection S of sets.
(c) The relation S defined by æSy + r < y on the set of all real numbers
R
(d) The relation R defined by mRn e m+n is odd on the set Z of all
integers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cc3d051-9d70-4244-aafe-3a1afd16e3d9%2Fdc6526a6-1836-4036-906a-19cb50bced64%2Fcnclshf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which one of the following is not a partial order relation?
(a) The relation defined by r | y + y = kæ for some integer k on the set
z+
(b) The relation defined by A C B e (Va)(a E A = a € B) on any
collection S of sets.
(c) The relation S defined by æSy + r < y on the set of all real numbers
R
(d) The relation R defined by mRn e m+n is odd on the set Z of all
integers.
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