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,

You have asked us to prove a mathematical statement. We are limited by our answering options. You can search this question on various portals on the internet if you wish to have an answer based on your query. It is difficult for us to answer your query because of our limitations.

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