The Goal

Solve the following inequality for n (assumed to be positive):

The Mistake

Find the algebra mistake:

(Roll the mouse over the algebra to see a hint in red)

The Correction

(Roll the mouse over the area above to see the correction in blue)

An Explanation

There are two issues. First, when the reciprocal is taken the inequality reverses. Second, the reciprocal of 10^-6 is 10⁶, since 10^-6 is 1/10⁶.