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Equivalence and partitions

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College level proof before Real Analysis.

Sketch a graph of the set...
Describe the equivalence relations associated with this partition... (see attached)

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Solution Summary

This shows how to sketch the graph of a given set, prove a set is a partition, and describe the equivalence relation with a given partition.

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Please see the attachment.

Proof:
(b) For any point , let , then , thus . This implies that . It is obviously that . Thus . On the other hand, if , we consider , ...

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