4024/12 May/Jun 2020, Question 15: Linear Inequalities
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
A triangular area is shaded on a grid bounded by x = 5, y = 3 and a line passing through (0, 1) and (6, 7). State the three inequalities that describe this region.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1The region is to the left of x = 5: x ≤ 5
- 2It is above y = 3: y ≥ 3
- 3The sloping line through (0, 1) and (6, 7) has gradient 1 and y-intercept 1: y = x + 1
- 4The region is below it: y ≤ x + 1
Answerx ≤ 5 y ≥ 3 y ≤ x + 1
Stuck on a step? Read the free lesson: Linear Inequalities
Practise more linear inequalities questions
Real 4024 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 linear inequalities
Also searched as: 4024/12/M/J/20 · 4024_s20_qp_12 · 4024 s20 12 · question 15.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.