CAIE IGCSE Mathematics Extended Inequalities Defining a Region

Practise reading each boundary and shaded side of a feasible region to write the complete set of linear inequalities that defines it.

Syllabus
2028–2030
Objective
E2.6.4
Level
Extended

Exam points

  • derive the equation of each horizontal, vertical or sloping boundary from the graph
  • choose the inequality direction by testing a point inside the labelled feasible region
  • use a strict sign for a broken boundary and an inclusive sign for a solid boundary

E2.6.4 List inequalities that define a given region question 1

[Maximum number: 3]
Figure for Question E2.6.4 List inequalities that define a given region question 1 — CAIE IGCSE Mathematics Extended

The region marked R is defined by three inequalities.

Find these three inequalities.

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