Question 175445
actually the conjecture is correct for all Real x's except for
:
{{{0<x<1}}}  such as 1/10 or 1/2....etc

: 
once you show one example of your conjecture not working it is false.
:
your example of (integer that is negative or an irrational number) does not negate the conjecture because it is still true with those values.

example 1/-5 is less than 1
        {{{1/sqrt(3)}}}is less than one