0580/23 Oct/Nov 2023, Question 13: Finding Regions from Multiple Inequalities
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
On a grid showing y = 2x + 1, shade out unwanted areas and label region R satisfying y ≥ 2x + 1, y ≥ 1 and 4x + 3y < 12.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Draw y = 1 as a solid horizontal line
- 2Draw 4x + 3y = 12 as a broken line through (0, 4) and (3, 0)
- 3Shade below y = 1, below/right of y = 2x + 1, and above/right of 4x + 3y = 12
- 4Label the unshaded region (above y = 1, above y = 2x + 1, below 4x + 3y = 12) R
AnswerCorrect region R indicated: the triangle above y = 1 (solid line), to the left of y = 2x + 1 and below 4x + 3y = 12 (dashed line)
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: 0580/23/O/N/23 · 0580_w23_qp_23 · 0580 w23 23 · question 13.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.