Mathematics 4024 · O Level · Inequalities

Inequalities — practice question

The diagram depicts the lines $y = 2x + 1$ and $x + y = 2$.
(a)[2]

The region $R$ is given by the three inequalities $y \le 2x + 1$, $x + y \le 2$, $y \ge -2$. On the diagram, shade and label region $R$.

(b)[2]

The point $(k, k-2)$ is in region $R$, with $k$ an integer. Give the possible values of $k$.

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