Let A be a nonempty set of real numbers which

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Homework Statement



Let A be a nonempty set of real numbers which is bounded below. Let -A be the set of all real numbers -x, where x is in A. Prove that inf A = -sup(-A).

Homework Equations



Definitions of upper bound, lower bound, least upper bound, and least lower bound.

The Attempt at a Solution



Here's what I have so far:


Ex5.png



Almost there! I just need to derive a contradiction on my assumption that gamma is an upper bound for -A.
 

Answers and Replies

  • #2
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[URL]http://www.threadbombing.com/data/media/8/bummmp.gif[/URL]



By the way, if you help me with this problem I'll give you another one.
 
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