Thread: 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

Hello, pleasehelpme12345!

My first question:

Is . the same as ?

Yes, it is!

Second question: How would I draw this on a Venn diagram?

We have: .


The Venn diagram would look like this:

Code:

      * - - - - - - - - - - - - - - - *
      |                               |
      |       * - - - - - - - *       |
      |       | A             |       |
      |       |   * - - - - - + - *   |
      |       |   |           |///|   |
      |   * - + - + - - - * . |///|   |
      |   |///|   |       |   |///|   |
      |   |///* - + - - - + - *///|   |
      |   |///////|///////|/////B/|   |
      |   |///////* - - - + - - - *   |
      |   |/C/////////////|           |
      |   * - - - - - - - *           |
      |                               |
      * - - - - - - - - - - - - - - - *

Thank you ever so much! [I donated to the math forum because of you]