Mathematics 0580 · IGCSE · Inequalities

Inequalities — practice question

A coordinate plane is displayed with the $x$-axis running from $0$ to $4$ and the $y$-axis running from $0$ to $8$. The lines drawn are $y = 2x + 1$, $y = 4 - x$, together with the vertical lines $x = 2$ and $x = 3$. The axes are marked $x$ and $y$.
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By shading the parts of the grid that are not wanted, find and label the region $R$ that meets these four inequalities: $x \le 3$, $x \ge 2$, $y \le 2x + 1$, $y \ge 4 - x$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Region R correctly identified

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