os tedt $ to ateadure out to olquexe ne svid (anioq S&I meldor Problem 64 points 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. x~y if and only if x - y = 2.

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os tedt SA to ateadura owd to olqmexe ne evi (atnioq S&I moldo
Problem 643 points 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.
Transcribed Image Text:os tedt SA to ateadura owd to olqmexe ne evi (atnioq S&I moldo Problem 643 points 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.
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