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Math Help - analysis

  1. #1
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    analysis

    Prove that every finite set is bounded.

    Any ideas?
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  2. #2
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    Quote Originally Posted by friday616 View Post
    Prove that every finite set is bounded.
    Assuming we are in \mathcal{R}^1.
    Suppose we have a finite set A = \left\{ {x_1 ,x_2 ,x_3 , \cdots ,x_n } \right\}.
    We form the number \mathcal{B}  = \sum\limits_{k = 1}^n {\left| {x_k } \right|}
    Is \mathcal{B} a bound for A?
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