\( S \) is a relation over the set \( R \) of all real numbers and it is given by \( (a, b) \in ...

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\( S \) is a relation over the set \( R \) of all real numbers and it is given by \( (a, b) \in S \Leftrightarrow a b \geq 0 \). Then, \( S \) is
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