Recent content by pissedoffdude

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...