# An algebra problem by Paola Ramírez

Algebra Level pending

Let $$a$$, $$b$$, and $$c$$ be positive real numbers such that $$a+b+c=1$$ and always satify the following inequality.

$\left(\frac{1}{a}-1\right)+\left(\frac{1}{b}-1\right)+\left(\frac{1}{c}-1\right)\geq n$

Find the maximum value of $$n$$.

×