CAIE IGCSE Mathematics Extended E2.6.4 List Inequalities That Define a Given Region Questions

Practise Extended CAIE IGCSE Mathematics by reading boundary equations, testing a point in the region and selecting strict or inclusive inequality signs.

Exam points

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

[Maximum number: 4]

Figure for Question CAIE IGCSE Mathematics Extended E2.6.4 List Inequalities That Define a Given Region Questions question 1 — CAIE IGCSE Mathematics Extended

Write down all the inequalities that define the region R.

$\begin{aligned}x&\leqslant2.5\\y&>3\\y&\leqslant4\\y&\leqslant2x\end{aligned}$

B3 for answer $x<2.5,\ y\geqslant3,\ y<4,\ y<2x$
OR B1 for each
If 0 or 1 scored, instead award SC2 for recognition of x=2.5,y=3,y=4,y=2x. If 0 scored, SC1 for recognition of y=2x

All question bank results loaded

CAIE IGCSE Mathematics Extended E2.6.4 List Inequalities That Define a Given Region Questions question 1