- #1
naes213
- 20
- 0
Homework Statement
If x and y are arbitrary real numbers with x<y, prove that there is at least one real z satisfying x<z<y
Homework Equations
The Attempt at a Solution
The problem arises from my inexperience in rigorously proving anything. If possible a general explanation of where to begin when trying to prove something rigorously would be more helpful than just the answer. I find that proofs generally seem obvious after i see them completed, but i sit for hours staring at them not knowing where to even remotely begin. Any help would be greatly appreciated. Thanks!