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If |x-2|x-2≥0, then ______. - Mathematics

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Question

If `|x - 2|/(x - 2) ≥ 0`, then ______.

Options

  • x ∈ [2, `oo`)

  • x ∈ (2, `oo`)

  • x ∈ (– `oo`, 2)

  • x ∈ (– `oo`, 2]

MCQ
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Solution

If `|x - 2|/(x - 2) ≥ 0`, then x ∈ (2, ∞).

Explanation:

Since `|x - 2|/(x - 2) ≥ 0`, for |x − 2| ≥ 0, and x – 2 ≠ 0.

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Chapter 6: Linear Inequalities - Solved Examples [Page 104]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 6 Linear Inequalities
Solved Examples | Q 10 | Page 104
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