1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to understand math Unboundedness

  1. Oct 11, 2005 #1
    Max (x_1)
    x_1 - x_2 <= 1
    x_1, x_2 >= 0

    is obviously 'Unbounded'.

    But i dont really understand this.. How do we know that it is
    Unbounded??
    what does it mean by Unboundedness?
    please help..thanks!
     
  2. jcsd
  3. Oct 12, 2005 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    "Unbounded" means precisely that! It has no bounds. In this case it is the fact that x1 and x2 are required to be non-negative but there is no "bound" on how large they can be. If we were given:
    x1>= 0, x2>= 0 and x1+ x2<= 1, then that last inequality would bound x1 and x2- since they are non-negative and their sum[\b] can't be larger than 1, neither can be larger than 1.

    However, because the condition is that x1- x2<= 1, there is no "bound", x1= 10000000, x2= 9999999 fit all conditions as does x1= A, x2= A-1 for any positive number A.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?