Page 2 of 2 FirstFirst 12
Results 16 to 18 of 18

Math Help - Venn

  1. #16
    Member
    Joined
    Apr 2010
    Posts
    93
    Thanks for your effort and patience, sir (or mam)! I think I've got it now, I'll just do some more examples to get it drilled into my head.
    Follow Math Help Forum on Facebook and Google+

  2. #17
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2
    You're very welcome. I am a he, by the way, just fyi.
    Follow Math Help Forum on Facebook and Google+

  3. #18
    MHF Contributor

    Joined
    Mar 2011
    From
    Tejas
    Posts
    3,283
    Thanks
    673
    i think you want to get away from saying things like: "everything shaded but B".

    the reason is, that usually, A and B are part of some larger collection, so "everything but B" isn't the same as "A", or even "A-B".

    you wind up with two sets:

    A∩B, and A∩B'.

    note that both of these sets have part of A in them (well, hopefully. it could happen that B is so far away from A that there is no overlap, or that A is entirely inside B, so that there is no overlap between A and "not-B").

    so one set is the part of A that overlaps with B, and the other set is the part of A that overlaps with everything else BUT B. put these two parts of A together, and you get A.

    there is a distributive law of U and ∩ that applies here:

    (A∩B)U(A∩B') = A∩(BUB').

    but BUB' is "everything", sometimes called the "universe of discourse", or the "containing set" (in a Venn diagram, the rectangle containing the overlapping circles).

    and the intersection of A with "everything", is just A.
    Follow Math Help Forum on Facebook and Google+

Page 2 of 2 FirstFirst 12

Similar Math Help Forum Discussions

  1. Venn diagram
    Posted in the Statistics Forum
    Replies: 7
    Last Post: October 10th 2010, 09:04 PM
  2. Venn Diagrams
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 23rd 2010, 07:35 AM
  3. Venn Diagram
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: April 9th 2009, 06:12 AM
  4. Venn
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: October 5th 2008, 03:48 PM
  5. venn
    Posted in the Statistics Forum
    Replies: 3
    Last Post: November 1st 2007, 11:47 AM

Search Tags


/mathhelpforum @mathhelpforum