TMUA 2021 · Paper 2 · Question 13

A region $R$ in the $(x, y)$ -plane is defined by the simultaneous inequalities

y - x < 3

y - x^{2} < 1

Which of the following statements is/are true for every point in $R$ ?

I $- 1 < x < 2$

II $(y - x) (y - x^{2}) < 3$

III $y < 5$

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