MA18-02 Maths Coming soon

Solving a Linear Inequality

MA18-02

This lesson is coming soon.

Watch now instead: MA23-01 Perimeter of 2D and composite shapes

In this lesson

Solve a linear inequality in one variable algebraically, flipping the inequality symbol when multiplying or dividing by a negative, and represent the solution on a number line.

What it covers

Isolating the unknown using inverse operations across an inequality (add, subtract, multiply, divide)
The rule: flip the inequality symbol when multiplying or dividing both sides by a negative number
Writing the final answer with the inequality symbol, never with '='
Representing the solved inequality on a number line using the open/closed circle convention

Key words

solve linear inequality negative coefficient flip inequality symbol

For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Edexcel IGCSE 4MA1, OCR GCSE J560, Cambridge IGCSE 0580

On the specification

Board	Spec	Statement
AQA GCSE 8300	A22	Solve linear inequalities in one variable
Edexcel GCSE 1MA1	A22	Solve linear inequalities in one variable; represent the solution set on a number line
Eduqas GCSE C300	FA18	Solve linear inequalities in one variable; represent the solution set on a number line
Edexcel IGCSE 4MA1	F2.8C	Solve simple linear inequalities in one variable and represent the solution set on a number line
OCR GCSE J560	6.04a	Understand and use the symbols <, ≤, > and ≥
Cambridge IGCSE 0580	C2.6	Represent and interpret inequalities, including on a number line.
Cambridge IGCSE 0580	E2.6	Represent and interpret inequalities, including on a number line.

For teachers

This GCSE Maths lesson teaches solving a linear inequality. By the end, students should be able to solve a linear inequality in one variable algebraically, flipping the inequality symbol when multiplying or dividing by a negative, and represent the solution on a number line. It works through three worked examples and the mistakes examiners report.