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Homework Help: Set Theory Symbols

  1. Jun 28, 2011 #1
    1. The problem statement, all variables and given/known data

    Is A C ⊆ B equal (A C) ⊆ B or A (C ⊆ B)?

    2. Relevant equations


    3. The attempt at a solution

    I think it's the first one due to it being in order, but I'm not sure...
  2. jcsd
  3. Jun 28, 2011 #2


    Staff: Mentor

    Took me a while to get what you are asking. It's the first.
  4. Jun 28, 2011 #3

    Ok, thanks
  5. Jun 29, 2011 #4


    User Avatar
    Science Advisor

    The first,
    [tex](A\cap B)\subset C[/tex]
    is the statement that the set, [itex]A\cap B[/itex] is a subset of C.

    The second,
    [tex]A\cap (B\subset C)[/tex]
    doen't make sense. The left side, A, is a set while the right side is NOT. The right side, [itex]B\subset C[/itex], is a statement that B is a subset of C. You can't take the intersection of a set with a statement!
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