Answer
$u\lt-c$ or $u\gt c$
Work Step by Step
Step 1. Given $c>0$ and $|u|\gt c$, we have, when $u\geq0,|u|=u$, thus $u\gt c$ for this case.
Step 2. When $u\lt 0,|u|=−u$, we have $−u\gt c$ and $u\lt−c$ for this case.
Step 3. Combine the above results, we have $u\lt-c$ or $u\gt c$ for all u values.