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The range of x for which 2 le |x-1| le 3...

The range of x for which `2 le |x-1| le 3`.

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To solve the inequality \(2 \leq |x - 1| \leq 3\), we will break it down into two parts and analyze each part separately. ### Step 1: Break down the absolute value inequality The inequality \(2 \leq |x - 1| \leq 3\) can be split into two separate inequalities: 1. \( |x - 1| \geq 2 \) 2. \( |x - 1| \leq 3 \) ...
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