Let B be the set of equivalence classes for R. Show that the function f : B → Z, given by f([(a, b)]) = a − b, is well-defined and bijective. Please really show it step by step, show the steps you need to take and explain them in detail, thank you in advance

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
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Let B be the set of equivalence classes for R. Show that the function f : B → Z, given by f([(a, b)]) = a − b, is well-defined and bijective. Please really show it step by step, show the steps you need to take and explain them in detail, thank you in advance

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