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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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