Check whether the relation \( \mathrm{R} \) in \( \mathbf{R} \) def...

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Check whether the relation \( \mathrm{R} \) in \( \mathbf{R} \) defined by \( \mathrm{R}=\left\{(a, b): a \leq b^{3}\right\} \) is reflexive, symmetric or transitive.
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