Learning objective

Understand and illustrate inequalities on a number line, using open circles for strict inequalities (less than, greater than) and closed circles for inclusive inequalities (less than or equal to, greater than or equal to). For example, represent the inequality -3 < x ≤ 1 on a number line.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

Cambridge IGCSE MathematicsCore Algebra and graphs

Study support

Understand this objective

Quick explanation

This point belongs to Inequalities, especially Inequalities outcomes.
You need to be able to understand and illustrate inequalities on a number line, using open circles for strict inequalities (less than, greater than) and closed circles for inclusive inequalities (less than or equal to, greater than or equal to). For example, represent the inequality -3 < x ≤ 1 on a number line.
The key ideas to know are Show, Sketch, and State.
Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

ShowSketchState

Why it matters

This objective helps connect Inequalities outcomes to exam-style questions, flashcards, and revision notes for Inequalities.

Revision tools

Flashcards10 linked cards

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Practice Questions7 linked questions

Question 1 of 7

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Paper 2Core or Extended Mathematics2 marks

Description

Illustrate the inequality -3 < x ≤ 1 on a number line.

a
Sketch the number line representation of the inequality -3 < x ≤ 1.
Your answer
Aim for approximately 2 distinct marking points.
[2]

Revision notestopic notes

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