I need to prove that
$$|2n^5 − n^3 + 2000| ≥ 2n^5 − 2001n^4$$
For $n$ in the natural numbers.
I understand to do this I need to use a Triangle Inequality. So far I have,
$$|2n^5-n^3+2000|≥ 2n^5 - 2001n^4$$
$$\implies |2n^5|-|n^3+2000| ≥ 2n^5 - 2001n^4$$
From here, I am not quite sure where to go.