0580/21 May/Jun 2024, Question 11: Finding Regions from Multiple Inequalities
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
From the given grid and shaded diagram, find the set of inequalities whose solution is the unshaded quadrilateral region R.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Sloping side through (1, 1) and (5, 5) is y = x (dashed), R is below it: y < x
- 2Vertical side is x = 6 (dashed), R is to its left: x < 6
- 3Horizontal sides y = 1 and y = 5 are solid: 1 ≤ y ≤ 5
- 4Inequalities: y < x, x < 6, 1 ≤ y ≤ 5
Answery < x, x < 6, 1 ≤ y ≤ 5
Stuck on a step? Read the free lesson: Finding Regions from Multiple Inequalities
Practise more finding regions from multiple inequalities questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on finding regions from multiple inequalities
Also searched as: 0580/21/M/J/24 · 0580_s24_qp_21 · 0580 s24 21 · question 11.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.