Results 1 to 2 of 2

Math Help - Distributive property for the difference of sets

  1. #1
    Member oldguynewstudent's Avatar
    Joined
    Oct 2009
    From
    St. Louis Area
    Posts
    241

    Distributive property for the difference of sets

    Again thanks for all the help I've been getting on this wonderful site.

    I could not find this property in my textbook, yet it has to be used to solve the following step:

    [ ( A_1 \cap A_2 \cap ... \cap A_k - B) ] \cap ( A_k _+ _1 - B)

    Is there a distributive property for the difference of sets that is used to write the following?:

    [ ( A_1 \cap A_2 \cap ... \cap A_k ) \cap A_k _+ _1 ] - B
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,614
    Thanks
    1581
    Awards
    1
    Quote Originally Posted by oldguynewstudent View Post
    [ ( A_1 \cap A_2 \cap ... \cap A_k - B) ] \cap ( A_k _+ _1 - B)
    Is there a distributive property for the difference of sets that is used to write the following?:
    [ ( A_1 \cap A_2 \cap ... \cap A_k ) \cap A_k _+ _1 ] - B
    Yes of course.
    (A\cap B \setminus E)\cap (C\setminus E)
    =(A\cap B) \cap E^c)\cap (C\cap E^c)
    =(A \cap B \cap C) \cap E^c
    =(A \cap B \cap C) \setminus  E
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Distributive Property
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 10th 2011, 05:19 PM
  2. Why do we want the distributive property?
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: February 18th 2011, 03:14 PM
  3. Please HELP! Distributive property
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 3rd 2010, 10:29 PM
  4. Distributive Property
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 23rd 2008, 02:47 PM
  5. Distributive property
    Posted in the Algebra Forum
    Replies: 1
    Last Post: January 16th 2008, 06:40 PM

Search Tags


/mathhelpforum @mathhelpforum