Results 1 to 5 of 5

Math Help - Naive set theory - show two sets are equal

  1. #1
    Junior Member
    Joined
    Oct 2010
    Posts
    28

    Naive set theory - show two sets are equal

    Hi,

    Suppose two sets:

    C = {x member of real numbers | x doesnot euqal 2 and {6x+1}/{x-2} < or equal 1

    D = [-{3}/{5}, 2)


    How would I begin this?

    I've tried rearranging the equation in C, to give, x < equal -3/5, which is wrong


    I've also randomly plugged in numbers less than 1 into the equation, such as -5, which gives 4.1.... which isn't in the set.

    Quite confused here

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,908
    Thanks
    1759
    Awards
    1
    Can you solve the inequality \dfrac{6x+1}{x-2}\le1~?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,201
    Thanks
    1789
    No need to solve that inequality for this problem! D only has two members, -3/5 and 2, and the definition of C specifically says "x is not equal to 2". What does that tell you?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,908
    Thanks
    1759
    Awards
    1
    Quote Originally Posted by HallsofIvy View Post
    No need to solve that inequality for this problem! D only has two members, -3/5 and 2, and the definition of C specifically says "x is not equal to 2". What does that tell you?
    I think you misread the notation. I read it as D = \left[ {\frac{{ - 3}}{5},2} \right)
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,201
    Thanks
    1789
    You are right. Too bleary eyed, I suspect. Thanks.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Equal power sets -> Equal sets?
    Posted in the Discrete Math Forum
    Replies: 6
    Last Post: July 5th 2012, 10:23 AM
  2. Replies: 1
    Last Post: November 27th 2011, 06:47 PM
  3. Show 1/x+1 less than or equal to ln(x+1)/x
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: November 27th 2011, 11:24 AM
  4. Proving two sets are equal
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: March 22nd 2010, 10:21 AM
  5. Show sets are equal
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: September 22nd 2009, 05:08 PM

Search Tags


/mathhelpforum @mathhelpforum