Mark the correct alternative in each of the following:

Question:

Mark the correct alternative in each of the following:

If $\frac{|x-2|}{x-2} \geq 0$, then

(a) $x \in[2, \infty)$

(b) $x \in(2, \infty)$

(c) $x \in(-\infty, 2)$

 

(d) $x \in(-\infty, 2]$

Solution:

$\frac{|x-2|}{x-2} \geq 0$

$\Rightarrow x-2>0$

$\Rightarrow x>2$

$\Rightarrow x \in(2, \infty)$

Hence, the correct option is (b).

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