CAIE IGCSE Mathematics Extended Graphing Inequalities in Two Variables

Practise drawing inequality boundaries, shading unwanted half-planes and using feasible regions to optimise integer or profit expressions.

Exam points

draw each straight boundary accurately and use solid lines for inclusive inequalities
use broken lines for strict inequalities and shade the unwanted side to leave region R
test feasible vertices or integer points to maximise a stated linear objective or profit

[Maximum number: 1]

Region R satisfies the three inequalities $y \geqslant 0, y \leqslant x$ and $x+y \geqslant 7$ . On the grid, label the region R .

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