- #1
Ronnin
- 168
- 1
Homework Statement
x<y [tex]x^{n}[/tex]<[tex]y^{n}[/tex] if n is odd
Homework Equations
The Attempt at a Solution
I am trying to prove this. I understand that if n were even it would eliminate any negatives for negative values of x or y, but how would I go about writing the proof for this. Would I break it down into different cases? Could I define what odd number is and just somehow state that because of that there would not be a possible sign change for x or y. I'm new to proofs so translating some of the most ovious stuff into mathmatical terms is tricky for me at times.