# Homework Help: X^4 + 1 > x^9 + x, then x<=1

1. Oct 13, 2009

### KeynesianDude

1. The problem statement, all variables and given/known data

Let x$$\in$$$$\textbf{R}$$. Prove that if x4+1 > x9+x , then x$$\leq$$1

2. Relevant equations

[above]

3. The attempt at a solution

Sort of clueless on this one. My intuition tells me I should algebraically rearrange the equation such that 1 is on one side of the inequality. I also considered factoring out an x.

2. Oct 13, 2009