Results 1 to 3 of 3

Math Help - Different way to express this set

  1. #1
    Member
    Joined
    Feb 2011
    Posts
    83
    Thanks
    2

    Different way to express this set

    The set is (A union B) intersect C.

    I was wondering if there was another way to write this that is not

    (A intersect C) union (B intersect C)

    I was thinking complement of (C \ (A union B))

    Thank you for your help.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by Jame View Post
    The set is (A union B) intersect C.

    I was wondering if there was another way to write this that is not

    (A intersect C) union (B intersect C)

    I was thinking complement of (C \ (A union B))

    Thank you for your help.
    (C\backslash(A\cup B))^c\neq (A\cup B)\cap C!!!!!!

    You could say

    \begin{aligned}(A\cup B)\cap C &= [(A\cap C)\backslash B] \cup (A\cap B\cap C)\cup[(B\cap C)\backslash A]\\ &=[(A\cap C)\backslash B]\cup (B\cap C) \\ &= (A\cap C)\cup [(B\cap C)\backslash A]\\ &= C\cap(C\backslash(A\cup B))\\ &= (A\cap C)\cup(B\cap C)\\ &= \ldots\end{aligned}

    There are many different ways of saying the same thing...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Feb 2011
    Posts
    83
    Thanks
    2
    Thanks so much. Looking at a Venn diagram I was able to see this!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Express 2x^2-28x+53
    Posted in the Algebra Forum
    Replies: 7
    Last Post: May 16th 2011, 05:27 AM
  2. express in m and n
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: July 22nd 2010, 09:15 PM
  3. Express f(g(x))
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: April 20th 2009, 09:03 PM
  4. express in z=a+bi
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 14th 2009, 11:52 PM
  5. way to express ans
    Posted in the Trigonometry Forum
    Replies: 8
    Last Post: April 17th 2006, 07:00 AM

Search Tags


/mathhelpforum @mathhelpforum