Define a relation on the integers by x y if x 2 y 2 is
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Question:
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.
Expert Answer:
Define a relation on the integers by x y if x2 y2 is a multiple of 5 The relation is defined as follows x y if x 2 y 2 is a multiple of 5 In other wor... View the full answer
Related Book For 
Introduction to Finance Markets Investments and Financial Management
ISBN: 978-1118492673
15th edition
Authors: Melicher Ronald, Norton Edgar
Posted Date:
