1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Comparing the real (integer part) of a number.

  1. Feb 29, 2012 #1
    1. The problem statement, all variables and given/known data

    Compare between E(x+y) and E(x)+E(y) for every real number x and y.

    E() refers to the real integer part of the number.


    3. The attempt at a solution

    Well I know that we have to split it up into 3 cases. One for which both are positive, both negative, and one of them is negative. For example I know when we have x and y greater than 0 we get E(x+y)≥E(x)+E(y) because let's take x=1.5 and y=1.6 then E(1.5+1.6)= 3 and
    E(1.5)+E(1.6)= 2. Can anyone help me come up with a proof for this?
     
  2. jcsd
  3. Feb 29, 2012 #2
    Anyone have any ideas.
     
  4. Feb 29, 2012 #3

    Mark44

    Staff: Mentor

  5. Mar 1, 2012 #4
    Alright Thank You I came up with a proof from what i read on wiki.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...