Show that the relation \( S \) in the set \( R \) of real numbers defined as \( S=\left\{(a, b):...

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Show that the relation \( S \) in the set \( R \) of real numbers defined as \( S=\left\{(a, b): a, b \in R\right. \) and \( \left.a \leq b^{3}\right\} \) is neither reflexive nor symmetric nor transitive.
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