Answer
$(-\infty,-c)\cup[-a,b]$
Work Step by Step
1. Factorize the numerator as $(x+a)(x-b)$ and the cut points can be identified as $-c,-a,b$
2. Considering the fact that $0\lt a\lt b\lt c$, we can build up a table as shown in the figure.
3. Based on the signs and end results, we can get the solution as $(-\infty,-c)\cup[-a,b]$