Edexcel IGCSE Math A 2.8.E inequalities defining regions

Practise region-description questions by identifying each boundary line and deciding which side of the line contains the shaded region.

Exam points

Write three inequalities that define a shaded region bounded by straight lines.
Use solid or boundary-line information to decide whether ≤, ≥, is needed.

[Maximum number: 3]

The region R, shown shaded in the diagram, is bounded by three straight lines.

Figure for Question 2.8.E Regions defined by linear inequalities question 1 — Edexcel IGCSE Math A Foundation

Write down the three inequalities that define the region R

Inequalities:
$y\geq2$ $x\leq7$ $y\leq x$

B1 for each inequality. Equivalent forms such as $y-2\geq0$ , $x-7\leq0$ , or $y-x\leq0$ accepted.
Allow < in place of $\leq$ , or vice versa.
SC B1 for y=2, x=7, and y=x.
SC B2 for the reversed region inequalities listed in the markscheme.

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2.8.E Regions defined by linear inequalities question 1