Mathematics 0580 · IGCSE · Inequalities

Inequalities — practice question

The diagram displays the inequalities $y \leq -\frac{1}{2}x + 6$, $y \geq 3x - 4$, $x + y \geq 5$.
(a)[2]

Shade away the regions that do not satisfy the inequalities, then identify and label the region $R$ that meets all three inequalities.

(b)[1]

Determine the greatest value of $x + y$ in region $R$, given that $x$ and $y$ are integers.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Region $R$ is marked correctly on the diagram

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