Mathematics · Real Analysis
For the set S = {x : 0 ≤ x ≤ 1, x ∈ Q}, which of the following statements is true?
- 1The set S has infinite elements, hence it is unbounded.
- 2The supremum of S does not exist.
- 3The infimum of S is zero.✓
- 4The infimum and supremum do not belong to S.
Correct answer
The infimum of S is zero.
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