2. Let \( S_{2}:=\{x \in \mathbb{R}: x>0\} \). Does \( S_{2} \) have lower bounds? Does \( S_{2} \) have upper bounds? Does inf \( S_{2} \) exist? Does sup \( S_{2} \) exist? Prove your statements.
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The set \( S_2 = \{ x \in \mathbb{R} : x > 0 \} \) consists of all positive real numbers. Show more…
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