4PM1/01R Jun 2025, Question 5: Inequalities and Linear Programming
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 1R · Calculator · 7 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Rectangle has width x cm and length (2x + 3) cm. Given P > 10 and A < 35, find the range of possible x values as a < x < b, showing algebraic working.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 7 marks
- 1P = 6x + 6 and A = x(2x + 3)
- 26x + 6 > 10, so x > 2/3
- 32x² + 3x − 35 < 0
- 4(2x − 7)(x + 5) < 0, critical values 7/2 and −5
- 5−5 < x < 7/2
- 6Combine: 2/3 < x < 7/2
Answer2/3 < x < 7/2
Stuck on a step? Read the free lesson: Inequalities and Linear Programming
Practise more inequalities and linear programming questions
Real 4PM1 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 inequalities and linear programming
Also searched as: 4PM1 1R June 2025 · 4PM1/01R · 4pm1 jun25 1r · question 5.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.