Unbounded Subset

  • Thread starter Seacow1988
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  • #1

Main Question or Discussion Point

If A, B are nonempty subsets of R and A is a subset of B, how can you prove that: if A is unbounded, B is unbounded?
 

Answers and Replies

  • #2
gb7nash
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Suppose to the contrary that B is bounded. So there exists a real number M such that |b| < M for all b in B. Do you see where the problem lies?
 
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  • #3
Landau
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If you understand the definition of 'boundedness' and 'subset' then this is trivial.
 

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