Ononot — For each real number t > 0, we define a subset of the Cartes

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For each real number $t > 0$ , we define a subset of the Cartesian plane $\mathbb{R}^2$ as follows: $S_t = \left\{ (x, y) \in \mathbb{R}^2 : y \ge t(x^2 - 1) \right\}$ Determine the union $U = \bigcup_{t > 0} S_t$ .