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

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MCQ
Fill in the Blanks

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

Options

  • x ∈ [2, `oo`)

  • x ∈ (2, `oo`)

  • x ∈ (– `oo`, 2)

  • x ∈ (– `oo`, 2]

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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.

Concept: Inequalities - Introduction
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APPEARS IN

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