## Precalculus (6th Edition)

Option $D$
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 $-9$