Answer
Option $D$
Work Step by Step
The inequality in Option $D$ means:
$-8$ is less than $x$ and $x$ is less than $-10$.
These statements contradict each other since a number cannot be both greater than $-8$ and less than $-10$ at the same time.
Example:
(1) For the number $-11$:
$-8 \lt -11 \lt -10$
$-11$ is less than $-10$, but $-8$ is not less than $-11$
(2) For the number$-9$:
$-8 \lt -9 \lt -10$
$-9$ is less than $-10$ nut $-8$ is not less than $-9$