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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
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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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.
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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