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Math Help - Sets & Subsets

  1. #1
    Junior Member
    Joined
    Aug 2008
    Posts
    33

    Sets & Subsets

    I am having trouble with this thing. It says,

    Let A={, {}, {{}}}.

    (a) Determine which of the following are elements of A: , {}, {,{}}.

    (b) Determine |A|

    (c) Determine which of the following are subsets of A: , {}, {,{}}.

    For d-i, determine the indicated sets.
    (d) ∩A

    (e) {}∩A

    (f) {,{}}∩A

    (g) ∪A

    (h) {}∪A

    (i) {,{}}∪A


    For A, I got , {}
    B, 3
    C, ,{}
    D,
    E, {}
    F, nothing

    Now, I'm just not sure what I'm doing. It's all these stupid empty sets.
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  2. #2
    Senior Member
    Joined
    Nov 2008
    Posts
    394
    Quote Originally Posted by dude15129 View Post
    I am having trouble with this thing. It says,

    Let A={, {}, {{}}}.

    (a) Determine which of the following are elements of A: , {}, {,{}}.

    (b) Determine |A|

    (c) Determine which of the following are subsets of A: , {}, {,{}}.

    For d-i, determine the indicated sets.
    (d) ∩A

    (e) {}∩A

    (f) {,{}}∩A

    (g) ∪A

    (h) {}∪A

    (i) {,{}}∪A


    For A, I got , {}
    B, 3
    C, ,{}
    D,
    E, {}
    F, nothing

    Now, I'm just not sure what I'm doing. It's all these stupid empty sets.
    My attempted solutions are as follows:

    For C, , {}, {{}}, {,{}} are all subsets of A.
    For F, {,{}}
    For G,H,I, the answer is A.

    I have the same answer with you except the above.
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