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Math Help - Unions, intersections, complements, venn

  1. #1
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    Smile Unions, intersections, complements, venn

    Hi!

    ANY help would be greatly appreciated..... I'm an art student... math is not my best subject. I'm having a very difficult time here.

    So my first question:

    Is ~A ∩ (B ∪ C) the same as (~A ∩ B) ∪ (~A ∩ C)???

    Second question:

    How would I draw this on a venn diagram-- that is to say, if I have a venn diagram labeled "A, B, and C" which part would be shaded for each of the above equations (if they are in fact not the same)?

    Like I said, anything will be very helpful!

    Many, many thanks
    Last edited by pleasehelpme12345; October 7th 2008 at 06:07 PM.
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  2. #2
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    Hello, pleasehelpme12345!

    My first question:

    Is . \sim\!A \cap (B \cup  C) the same as (\sim\!A \cap B) \cup (\sim\!A \cap C) ?
    Yes, it is!



    Second question: How would I draw this on a Venn diagram?
    We have: . \underbrace{(\sim\!A)}_{\text{not in A}} \underbrace{\cap}_{\text{and}} \underbrace{(B \cup C)}_{\text{in B or C}}


    The Venn diagram would look like this:
    Code:
          * - - - - - - - - - - - - - - - *
          |                               |
          |       * - - - - - - - *       |
          |       | A             |       |
          |       |   * - - - - - + - *   |
          |       |   |           |///|   |
          |   * - + - + - - - * . |///|   |
          |   |///|   |       |   |///|   |
          |   |///* - + - - - + - *///|   |
          |   |///////|///////|/////B/|   |
          |   |///////* - - - + - - - *   |
          |   |/C/////////////|           |
          |   * - - - - - - - *           |
          |                               |
          * - - - - - - - - - - - - - - - *
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  3. #3
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    Thank you ever so much! [I donated to the math forum because of you]
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