- #1
moo5003
- 207
- 0
Problem:
"Suppose X, Y in R (Real Numbers), X < Y prove there exists Z in R such that X < Z < R."
I'm currently trying to prove that X + Y / 2 satisfies this but I'm getting stuck. I first show that X + Y / 2 cannot be = to either X or Y. I then try to show that X + Y / 2 is > X since X < Y but I cannot seem to tie this in. Any help would be appreciated.
"Suppose X, Y in R (Real Numbers), X < Y prove there exists Z in R such that X < Z < R."
I'm currently trying to prove that X + Y / 2 satisfies this but I'm getting stuck. I first show that X + Y / 2 cannot be = to either X or Y. I then try to show that X + Y / 2 is > X since X < Y but I cannot seem to tie this in. Any help would be appreciated.