Thanks for the advice.
So if I understand correctly, we have three cases:
1) x is an integer. Then, we can say m=x
2) x is rational. Then by the Archimedean property, we an find integers that are strictly greater and less than x, so we can let m be an integer such that m=x+1/2, then...
Homework Statement
If x is a real number, show that there is an integer m such that:
m≤x<m+1
Show that m is uniqueHomework Equations
Archimedean Property: The set of natural numbers has no upper boundThe Attempt at a Solution
I'm having trouble with showing that m is unique. If x is a real...