Lemmara logoLemmaraWorked solution

4MA1/1HR Jun 2025, Question 6: Linear Inequalities

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

A number line from −3 to 3 shows an interval with an open circle at −2 and a filled circle at 1; write the inequality shown, then solve 7a − 5 ≤ 3a + 28 showing working.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Write down the inequality represented on the number line, noting the open circle at −2 and filled circle at 1.

  1. 1Open circle at −2: x > −2 (not included)
  2. 2Filled circle at 1: x ≤ 1 (included)
  3. 3So −2 < x ≤ 1

Answer−2 < x ≤ 1

Part (b) · 2 marks

Solve 7a − 5 ≤ 3a + 28, showing clear algebraic working.

  1. 17a − 3a ≤ 28 + 5
  2. 24a ≤ 33
  3. 3a ≤ 33/4 = 8.25

Answera ≤ 8.25

Stuck on a step? Read the free lesson: Linear Inequalities

Practise more linear inequalities questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on linear inequalities

Also searched as: 4MA1 1HR June 2025 · 4MA1/1HR · 4ma1 jun25 1hr · question 6.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.