Teaching CSIR NET Mock Test Series Mathematical Science Analysis Supremum & Infimum

Consider the set A = {x ∈ ℚ : 0 < (√2 - 1)x < √2 + 1} as a subset of ℝ. Which of the following statements is true?

1

sup A = 2 + 2√3

2

sup A = 3 + 2√2

3

inf A = 2 + 2√3

4

inf A = 3 + 2√2

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