Quadratic Inequalities: Worded problems

To determine when $f(x) < 0$, we analyze the graph shown. The point where the blue line intersects and crosses below the x-axis forms the critical point of interest.

By observing the graph, we see the blue line represents $f(x)$. Visual interpretation shows that the blue line dips below the x-axis before it reaches the $x = 2$ point and moves up at exactly this point.

Therefore, since the blue graph representing $f(x)$ is below the x-axis when $x < 2$, it implies that the interval for which $f(x) < 0$ holds true is precisely $x < 2$.

Hence, the solution to this problem is $x < 2$.