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(|x-2|-1)/(|x-2|-2)le0...

`(|x-2|-1)/(|x-2|-2)le0`

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To solve the inequality \(\frac{|x-2|-1}{|x-2|-2} \leq 0\), we will consider two cases based on the expression inside the absolute value. ### Step 1: Identify Cases The expression \(|x-2|\) can be split into two cases: 1. Case 1: \(x - 2 \geq 0\) (i.e., \(x \geq 2\)) 2. Case 2: \(x - 2 < 0\) (i.e., \(x < 2\)) ### Step 2: Solve Case 1 (\(x \geq 2\)) ...
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