Results 1 to 2 of 2

Math Help - less than or equal!!!

  1. #1
    Member
    Joined
    Aug 2008
    Posts
    172

    less than or equal!!!

    If a,b \in N with  a/b {i.e: a divides b} .prove that  a \leq b
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Bruno J.'s Avatar
    Joined
    Jun 2009
    From
    Canada
    Posts
    1,266
    Thanks
    1
    Awards
    1
    Well b=aq for some q \in \mathbb N (here we assume that 0 \notin \mathbb N or else the statement is false - take b=0 and a>0). Then q\geq 1 so b=aq>a\times 1 =a.
    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, 09:23 AM
  2. Another cant get this to equal this :)
    Posted in the Calculus Forum
    Replies: 5
    Last Post: May 26th 2010, 09:26 AM
  3. Replies: 2
    Last Post: March 23rd 2009, 07:11 AM
  4. How does this equal this?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 15th 2008, 04:08 AM
  5. Never equal
    Posted in the Algebra Forum
    Replies: 4
    Last Post: March 24th 2008, 07:19 AM

Search Tags


/mathhelpforum @mathhelpforum