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Real Analysis : Real Numbers

College level proof before real analysis. Please give formal proof.
Please explain each step of your solution. If you have any suggestion or question to me, please let me know. Thank you.

Please see attached file for full problem description.

I. Three real numbers and have the property that . Prove that at least two of and are within unit from one another.

(Please give formal proof.. Please do consider this proof level is before real analysis in college level math.)


Solution Summary

A real numbers proof is provided. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.