Question
Define a relation on the integers by x y if x 2 y 2 is a multiple of 5. (a) Show that
Define a relation on the integers by x ∼ y if x2 − y2 is a multiple of 5.
(a) Show that ∼ is an equivalence relation.
(b) How many equivalence classes does ∼ have? Explain your reasoning.
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Introduction to Finance Markets Investments and Financial Management
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