Results 1 to 2 of 2

Math Help - Subsets

  1. #1
    Member
    Joined
    Aug 2007
    Posts
    239

    Subsets

    Problem: Using truth tables show that  (A \cup C) - B \subseteq (A-B) \cup C .

    Work/Thoughts: I know that to show that to show that 2 sets are equal, the truth values will be the same. However attached is what I get for the two sets. Some of the truth values are different. Using this how would I conclude that a the first set is a subset of the second set?

    Thanks
    Attached Thumbnails Attached Thumbnails Subsets-untitled.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,793
    Thanks
    1688
    Awards
    1
    It is really easy. If there is a T in the x \in \left( {A \cup C} \right) - B column there MUST be a T in the x \in \left( {A - B} \right) \cup C column.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Subsets of R^3
    Posted in the Advanced Algebra Forum
    Replies: 11
    Last Post: May 14th 2011, 01:26 AM
  2. Subsets
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: December 29th 2010, 10:33 AM
  3. How many subsets
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: May 17th 2010, 05:41 AM
  4. Subsets
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: October 1st 2009, 07:54 PM
  5. Subsets
    Posted in the Math Topics Forum
    Replies: 0
    Last Post: October 22nd 2008, 12:58 AM

Search Tags


/mathhelpforum @mathhelpforum