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ntsh For each of the following relations on the integers Z, say whether is an equivalence relation; explain your answer. If is an equivalence relation, give an explicit description of the set of equivalence classes Z/~. a.~y if and only if x > 0 and y > 0. b. xy if and only if |x| = |y|. c. xy if and only if x - y = 2.

ntsh For each of the following relations on the integers Z, say whether is an equivalence relation; explain your answer. If is an equivalence relation, give an explicit description of the set of equivalence classes Z/~. a.~y if and only if x > 0 and y > 0. b. xy if and only if |x| = |y|. c. xy if and only if x - y = 2.

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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dong anong tuoitittan oldin bad-tiert odt not mold 1 = 1 101 bus 0 => odiorg mel 7 10 diod gut Preller of Z, say whether intsh For each of the following relations on the integers is an equivalence relation; explain your answer. If is an equivalence relation, give an explicit description of the set of equivalence classes Z/~. a.~y if and only if x > 0 and y > 0. b. xy if and only if |x| = |y|. c. x~y if and only if x - y = 2.
Transcribed Image Text:dong anong tuoitittan oldin bad-tiert odt not mold 1 = 1 101 bus 0 => odiorg mel 7 10 diod gut Preller of Z, say whether intsh For each of the following relations on the integers is an equivalence relation; explain your answer. If is an equivalence relation, give an explicit description of the set of equivalence classes Z/~. a.~y if and only if x > 0 and y > 0. b. xy if and only if |x| = |y|. c. x~y if and only if x - y = 2.
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