Mathematics · Real Analysis
Which of the following statements is false in the context of real numbers?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The set {1/n : n ∈ N} is an open set.✓
- 2The intersection of a finite number of open sets is open.
- 3Every open interval is a neighborhood (nhd) of each of its points.
- 4The union of any arbitrary family of open sets is open.
Correct answer
The set {1/n : n ∈ N} is an open set.
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