Lemmara logoLemmaraWorked solution

4024/23 May/Jun 2026, Question 4: Linear Inequalities

Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Show the inequality −4 < x ≤ 1 on a number line from −5 to 5, then solve the inequality 3x < 6.

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

Part (a) · 2 marks

Mark the interval −4 < x ≤ 1 on the given number line, using correct open and closed endpoints.

  1. 1Draw an open circle at −4 (−4 is not included)
  2. 2Draw a filled circle at 1 (1 is included)
  3. 3Join them with a line

AnswerLine from −4 to 1 with an open circle at −4 and a closed (filled) circle at 1

Part (b) · 1 mark

Solve 3x < 6 for x.

  1. 1Divide both sides by 3
  2. 2x < 2

Answerx < 2

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 Lemmara

More past-paper questions on linear inequalities

Also searched as: 4024/23/M/J/26 · 4024_s26_qp_23 · 4024 s26 23 · question 4.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.