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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]
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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