Results 1 to 6 of 6

Math Help - Union Complement question

  1. #1
    Senior Member
    Joined
    Apr 2008
    From
    Vermont
    Posts
    318

    Union Complement question

    I have (A intersect B)'
    I want an equivalent statement shown using Venn diagrams. I am lost. I know I need a Venn diagram showing A and B minus the intersection plus all of the outside. A' intersect B' gives all of outside. So how do I get outside and A and B minus the intersection?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    (A n B)' = A' u B' could be one way of looking at this problem. Basically you shade everything except A n B. So all of A except the part that intersects with B, all of B except the part that intersects with A, and everything outside of both A and B.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Apr 2008
    From
    Vermont
    Posts
    318
    Quote Originally Posted by icemanfan View Post
    (A n B)' = A' u B' could be one way of looking at this problem. Basically you shade everything except A n B. So all of A except the part that intersects with B, all of B except the part that intersects with A, and everything outside of both A and B.
    Yeah, that's what I got for ( A intersect B)'. my problem is A' U B'. So, that would give anything's that's not A and B. So, that would give verything outside of A and B, right? But I need something that also includes A and B minus the intersection.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    I was trying to say that (A n B)' is the same as A' u B', but you still seem uncertain. Remember that A' includes some of B and B' includes some of A.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member
    Joined
    Apr 2008
    From
    Vermont
    Posts
    318
    Oh, ok I see now. So I could do a venn diagram of A', a Venn diagram of B' and then combine them,.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    Quote Originally Posted by kathrynmath View Post
    Oh, ok I see now. So I could do a venn diagram of A', a Venn diagram of B' and then combine them,.
    Exactly right.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. conclude that the closure of a union is the union of the closures.
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: February 13th 2011, 07:50 PM
  2. complement, open, close question
    Posted in the Differential Geometry Forum
    Replies: 13
    Last Post: November 9th 2010, 07:38 AM
  3. Orthogonal Complement Question
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: June 7th 2010, 04:36 AM
  4. complement question..
    Posted in the Advanced Statistics Forum
    Replies: 11
    Last Post: November 23rd 2009, 09:00 AM
  5. Linear Algebra: orthogonal complement question
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: November 13th 2008, 10:45 AM

Search Tags


/mathhelpforum @mathhelpforum