Solve `|| x-1|-2 | lt 5 `

Explanation

To solve the inequality \( ||x - 1| - 2| < 5 \), we will break it down step by step.

### Step 1: Remove the outer absolute value
The expression \( ||x - 1| - 2| < 5 \) implies that the expression inside the absolute value can take values between -5 and 5. Therefore, we can write:

\[ -5 < |x - 1| - 2 < 5 \]
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