Solve: `(|x|-1)/(|x|-2)geq0,x in R ,x!=+-2.`

Explanation

To solve the inequality \(\frac{|x|-1}{|x|-2} \geq 0\) with the condition \(x \in \mathbb{R}\) and \(x \neq \pm 2\), we will consider two cases based on the definition of the absolute value function.

### Step 1: Identify Cases for Absolute Value
We need to consider two cases for \(|x|\):
1. Case A: \(x \geq 0\)
2. Case B: \(x < 0\)

### Step 2: Solve Case A (\(x \geq 0\))
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