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Math Help - Interior Sets

  1. #1
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    Interior Sets

    Find the interior and boundary of each of the follwing sets:

    a. [0,1)
    b. Q
    c. R\Q
    d. R
    e. (-inf,-2) U {1/n: n is a natural} U [1, inf)


    I think a) (0,1) b) empty set c) empty set
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by Jdg6057 View Post
    Find the interior and boundary of each of the follwing sets:

    a. [0,1)
    b. Q
    c. R\Q
    d. R
    e. (-inf,-2) U {1/n: n is a natural} U [1, inf)


    I think a) (0,1) b) empty set c) empty set
    Yes, that's right so far. d) \mathbb{R} e) (-\infty,-2)\cup(1,\infty)

    Note that int(A)\cup bound(A)=cl(A), so what are the boundary points of each set?
    Last edited by redsoxfan325; October 16th 2009 at 09:26 AM.
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