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Math Help - Supremum

  1. #1
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    Supremum

    Show that sup \{r\mathbb{Q}: r <a \} = a for each a \in \mathbb{R}.

    Question: Does the word "show" mean prove?
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  2. #2
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    I think that you mean r\in\mathbb{Q}.
    Yes in this case show means prove.
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