The inequality $-1 \leq x \leq 5$ can be represented as an absolute value inequality.

First, recognize that this inequality can be rewritten in a centered form around some midpoint. The midpoint between $-1$ and $5$ is:

$\text{Midpoint} = \frac{-1 + 5}{2} = 2$

Now, the distance from the midpoint $2$ to either endpoint (such as $-1$ or $5$) is:

$\text{Distance} = 5 - 2 = 3$

This leads to the absolute value inequality:

$|x - 2| \leq 3$

This inequality says that the distance between $x$ and $2$ is at most $3$, which is equivalent to the original inequality $-1 \leq x \leq 5$.

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you solve absolute value inequalities?
2. What is the difference between strict and non-strict inequalities?
3. Can an absolute value inequality ever represent two separate intervals?
4. How would the inequality change if it were $-1 < x < 5$?
5. How does graphing absolute value inequalities work?

Tip: Always check if you can express a compound inequality as an absolute value inequality—it can simplify solving the problem.