# Proof of inequalities

Please see the attached file for full problem description.

ALL STEPS MUST BE SHOWN

PLEASE PROVIDE AN EXPLANATION IN COMPLETE SENTENCES

Here is the problem

Given and prove that there is a unique y>0 such that That is, exists and is unique

Hint: Consider y = the least upper bound of

Then use exercise 2 to show that can be neither less than x nor greater than x.

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#### Solution Summary

This is a proof regarding inequalities and subsets.

$2.19