Writhe the set of values of `x` satisfying `|x-1|lt=3\ a n d\ |x-1|lt=1.`

Explanation

To solve the problem of finding the set of values of \( x \) satisfying the inequalities \( |x - 1| \leq 3 \) and \( |x - 1| < 1 \), we will follow these steps:

### Step 1: Solve the first inequality \( |x - 1| \leq 3 \)

The expression \( |x - 1| \leq 3 \) can be rewritten as two inequalities:

\[
-3 \leq x - 1 \leq 3
...