Let X = R. For n Z, let An = {x R : n x < n + 1} = [n, n + 1). 1. Prove that P = {An : n Z} is a partition of R. 2. Define an equivalence relation on R for which equivalence classes are {An; n Z}.

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Let X = R. For n Z, let An = {x R : n x < n + 1} = [n, n + 1). 1. Prove that P = {An : n Z} is a partition of R. 2. Define an equivalence relation on R for which equivalence classes are {An; n Z}.

Akash Girde 7th Nov, 2020

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Anuj More 8th Nov, 2020

Dear Candidate,

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