Determine which of these relations are transitive. The variables x, y, x', y represent integers. A.~y if and only if x + y is positive. B. ~ y if and only if x +y is odd. C. (x, y) ~ (x', y) if and only if xy = x'y. D. (x, y) ~ (x, y) if and only if x - y = x'- y. y is positive. F.x~ y if and only if x - y is a multiple of 10. E.I~ y if and only if x -

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine which of these relations are transitive. The variables x, y, x', y' represent integers.
A.x~ y if and only if x + y is positive.
B.x~ y if and only if x + y is odd.
C. (x, y) ~ (x', y') if and only if xy = x'y.
D. (x, y) (x', y') if and only if x - y = x - y'.
E.x~ y if and only if x -y is positive.
F.x~ y if and only if x - y is a multiple of 10.
Transcribed Image Text:Determine which of these relations are transitive. The variables x, y, x', y' represent integers. A.x~ y if and only if x + y is positive. B.x~ y if and only if x + y is odd. C. (x, y) ~ (x', y') if and only if xy = x'y. D. (x, y) (x', y') if and only if x - y = x - y'. E.x~ y if and only if x -y is positive. F.x~ y if and only if x - y is a multiple of 10.
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