Karnataka Board PUCPUC Science Class 11

Mark the Correct Alternative in Each of the Following: If | X − 2 | X − 2 ≥ Then - Mathematics

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MCQ

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]

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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).

  Is there an error in this question or solution?
Chapter 15: Linear Inequations - Exercise 15.8 [Page 32]

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 15 Linear Inequations
Exercise 15.8 | Q 11 | Page 32

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