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Question
Mark the correct alternative in each of the following:
If \[\frac{\left| x - 2 \right|}{x - 2}\]\[\geq\] then
Options
x\[\in\][2, \[\infty\]
x\[\in\](2, \[\infty\])
x\[\in\](\[-\]\[\infty\] 2)
x\[\in\](\[-\]\[\infty\]2]
Solution
\[\frac{\left| x - 2 \right|}{x - 2} \geq 0\]
\[ \Rightarrow x - 2 > 0\]
\[ \Rightarrow x > 2\]
\[ \Rightarrow x \in \left( 2, \infty \right)\]
Hence, the correct option is (b).
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