MA18-04 Maths Coming soon

Regions Satisfying Linear Inequalities in Two Variables

MA18-04

This lesson is coming soon.

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

In this lesson

Draw the boundary line for a linear inequality in two variables using the correct solid or dashed convention, and identify or describe the region satisfying one or more inequalities together.

What it covers

Drawing boundary lines for inequalities of the form x = c, y = c, and y = mx + c on a coordinate grid
The solid-line convention for <=, >= (boundary included) and the dashed-line convention for <, > (boundary excluded)
Shading or identifying the region on the correct side of a single boundary line
Combining two or three inequalities to identify the overlapping region that satisfies all of them
Reading a shaded region back into the set of inequalities that define it

Key words

shade region boundary line solid dashed line system of inequalities

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	HA22	Solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable; represent the solution set on a number line, using set notation and on a graph
Edexcel IGCSE 4MA1	F2.8D	Represent simple linear inequalities on rectangular Cartesian graphs
Edexcel IGCSE 4MA1	F2.8E	Identify regions on rectangular Cartesian graphs defined by simple linear inequalities
Edexcel IGCSE 4MA1	H2.8B	Identify harder examples of regions defined by linear inequalities
OCR GCSE J560	6.04b	Solve (several) linear inequalities in two variables, representing the solution set on a graph.
OCR GCSE J560	7.02a	Find and interpret the gradient and intercept of straight lines, graphically and using y = mx + c .
Cambridge IGCSE 0580	E2.6	Represent and interpret inequalities, including on a number line.

For teachers

This GCSE Maths lesson teaches regions satisfying linear inequalities in two variables. By the end, students should be able to draw the boundary line for a linear inequality in two variables using the correct solid or dashed convention, and identify or describe the region satisfying one or more inequalities together. It works through two worked examples and the mistakes examiners report.