Here's the problem:

An economist for a sporting goods company estimates the revenue and cost functions for the production of a new snowboard. These functions are and , respectively, where x is the number of snowboards produced, in thousands. The average profit is defined by the function AP(x) = P(x) / x , where P(x) is the profit function. Determine the production levels that make AP(x) > 0

What i did is :

Is this the right inequality to solve the problem?