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Math Help - closure , metric space

  1. #1
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    closure , metric space

    Hello,
    i have a exam coming tomorrow and i need some hints or the solution for this problem. This is a practice problem

    thank you in advance

    Let A ⊆ R be a subset of non-empty and increased. Show that the point x = sup A ∈ R (which exists by the axiom of Dedekind) is adherent(closure) to A.
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  2. #2
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    Quote Originally Posted by donsmith View Post
    Hello,
    i have a exam coming tomorrow and i need some hints or the solution for this problem. This is a practice problem

    thank you in advance

    Let A ⊆ R be a subset of non-empty and increased. Show that the point x = sup A ∈ R (which exists by the axiom of Dedekind) is adherent(closure) to A.
    What does of non-empty and increased mean?
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  3. #3
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    not empty and bounded
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