Answer
At the range of distance $x\gt30$ was the temperature less than 500.
Work Step by Step
$\frac{600,000}{x^2+300}\lt500$
$600,000\lt 500(x^2+300)$, Multiplying both sides by $x^2+300$.
$600,000\lt500x^2+150,000$,
$450,000\lt500x^2$,
$900\lt x^2$,
$\pm 30 \lt x$.
Since we're solving for distance, only positive answers are relevant. Therefore, at the range of distance $x\gt30$ was the temperature less than 500.
