Results 1 to 2 of 2

Math Help - Bounded above and bounded below

  1. #1
    Junior Member
    Joined
    Apr 2010
    Posts
    30

    Bounded above and bounded below

    Hi,

    See Q3 on attatched document. Im preparing for a forthcoming exam and always struggle with these type of questions....

    for (i) i got: bounded above = yes; LUB = 1; In set = YES; Bounded Below = YES; GLB = 0; In set = no;

    Im more confident on this part but not for the other parts. Any help/guidance?
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    May 2010
    From
    Los Angeles, California
    Posts
    274
    Thanks
    1
    For 3(iv) we have -\sqrt 11 < x < \sqrt 11. LUB is \sqrt 11 and GLB is -\sqrt 11. This is because the rationals are dense in \Bbb R. Neither of these numbers are rational because 11 is prime.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Closure of a totaly bounded set is totally bounded
    Posted in the Differential Geometry Forum
    Replies: 7
    Last Post: April 8th 2011, 07:42 PM
  2. Replies: 2
    Last Post: September 14th 2010, 06:15 AM
  3. Replies: 3
    Last Post: March 17th 2010, 06:12 PM
  4. Replies: 4
    Last Post: October 12th 2009, 08:43 PM
  5. Replies: 0
    Last Post: July 1st 2008, 02:47 AM

Search Tags


/mathhelpforum @mathhelpforum