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Inequalities Involving Modulus Function

If |x-2|/x-2≥...

Question

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

A

$x ϵ [2, \infty)$

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B

$x ϵ (2, \infty)$

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C

$x ϵ [- \infty, 2)$

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D

$x ϵ (- \infty, 2]$

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Solution

The correct option is B
$x ϵ (2, \infty)$

$x ϵ [2, \infty) S i n c e \frac{| x - 2 |}{x - 2} \geq 0, f o r | x - 2 | \geq 0 a n d x - 2 \neq 0$

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