Sets Question

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  1. Small123's Avatar
    • Overlord in Training
    • Location: Nowhere Posts: 24
    Sets Question
    I'm a bit stuck with the following question.

    2. Let B,C,D,E be the following sets:

    B={x|x is a real number, x^2<4},

    C={x|x is a real number, 0 \leq x <2},

    D={x|x \in \mathbb{Z}, x^2 <1},

    E={1}.

    Which pair of these sets has the property that neither is contained in the other.

    From my understanding D is the empty set and since the empty set is a subset of all the sets this cannot be one of the sets in the pair. C \subseteq B and E \subseteq C and E \subseteq B. Thus there is no pair of sets for which neither is contained in the other.

    I'm confused.

    Apologies, I have just realised this is in the wrong forum.
    Last edited by Small123; 02-11-2009 at 17:09.
  2. inspired.'s Avatar
    • Full Member
    • Location: London
    • Posts: 101
    Re: Sets Question
    I believe that the correct solution is D and E, because 0 is an integer, so D is not the empty set.
  3. Small123's Avatar
    • Overlord in Training
    • Location: Nowhere Posts: 24
    Re: Sets Question
    (Original post by inspired.)
    I believe that the correct solution is D and E, because 0 is an integer, so D is not the empty set.
    Ohhhh, I see. Thanks for that .
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