If `(|x-2|)/(x-2)geq0,` then `x in [2,oo)` b. `x in (2,oo)` c. `x in (-oo,2)` d. `x in (-oo,2]`

Explanation

To solve the inequality \(\frac{|x-2|}{x-2} \geq 0\), we will analyze the expression step by step.

### Step 1: Understand the expression
The expression \(\frac{|x-2|}{x-2}\) involves the absolute value of \(x-2\). The absolute value function is defined as follows:
- If \(x - 2 \geq 0\) (i.e., \(x \geq 2\)), then \(|x - 2| = x - 2\).
- If \(x - 2 < 0\) (i.e., \(x < 2\)), then \(|x - 2| = -(x - 2) = 2 - x\).

### Step 2: Determine the domain
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