(adsbygoogle = window.adsbygoogle || []).push({}); 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?

**Physics Forums | Science Articles, Homework Help, Discussion**

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.

**Physics Forums | Science Articles, Homework Help, Discussion**