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Homework Statement
Let x \in ℝ
Prove that if 3x^{4}+1≤x^{7}+x^{3}, then x > 0
Homework Equations
None
The Attempt at a Solution
Assume
3x^{4}+1≤x^{7}+x^{3}
then 0 ≤ -3x^{4}-1≤x^{7}+x^{3}
Then I assumed that each was greater than or equal to 0, which I thought gave the desired result. No examples in the book to really guide me...any help would be greatly appreciated.