Results 1 to 2 of 2

Math Help - Sets

  1. #1
    Junior Member
    Joined
    Sep 2008
    Posts
    37

    Sets

    Conclude that A=B if A,B, and C are sets such that?

    (a) A U C= B U C

    (b) A
    C = B C

    a) No.

    Becasue if A = {0}, B = {1} and C = {0,1}. Then A U C= B U C
    but A <> B

    (b) No.

    Since A = {0}, B = {1} and C = {2}. Then A ∩ C = B ∩ C but A <> B

    Would this be correct?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,820
    Thanks
    1711
    Awards
    1
    Yes.
    Both are good counterexamples.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Open sets and sets of interior points
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: August 9th 2011, 03:10 AM
  2. Metric spaces, open sets, and closed sets
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: March 16th 2011, 05:17 PM
  3. Replies: 9
    Last Post: November 6th 2010, 12:47 PM
  4. Approximation of borel sets from the top with closed sets.
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: February 18th 2010, 08:51 AM
  5. how to show these sets are 95% confidence sets
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: February 11th 2009, 09:08 PM

Search Tags


/mathhelpforum @mathhelpforum