It looks like you're presenting two inequalities related to \( x \):

1. \(-101 \leq x \leq 1006\)
2. \(-101 \leq x \leq 100\)

If you're looking for the overlapping range of these two inequalities, we can combine them.

The second inequality, \(-101 \leq x \leq 100\), restricts the range of \( x \) to be between -101 and 100. Since the second inequality is more restrictive than the first, the combined result is simply:

\[
-101 \leq x \leq 100
\]

Let me know if you need further assistance!