An inequality is used to show that one expression may not be equal to another.

A region is an area that graphically represents the solutions to one or more inequalities. Every coordinate pair within the region satisfies the inequalities that define the region.

Relating graphical solutions to algebraic solutions for inequalities

Maths

Checking and securing understanding of simultaneous equations

Non-solutions to simultaneous linear equations

Inequalities on number lines

Solving simple linear inequalities

Solving more complicated linear inequalities

Linear inequalities in context

A single solution set

Solution set notation

Solving a linear inequality graphically

Solving a set of linear inequalities graphically

Solving quadratic inequalities in one variable graphically

Solving quadratic inequalities algebraically

Advanced problem solving with linear inequalities

In this unit, pupils will learn how to extend their understanding of solving equations and extend this to consider inequalities. Pupils will consider a variety of inequalities and ways that their solutions can be represented.

In this unit, pupils extend their understanding of inequalities and consider a range of contextual inequalities and ways to find and represent their solutions.

Inequalities

This graph shows us that the __________ $$2x+8>2-x$$ is $$x>-2$$.

This graph shows that the region $$x<4$$ is the solution to which inequality?

$$(4,-2)$$ is the point of {{}} of these two linear graphs.

Which inequality is represented by this region?

Relating graphical solutions to algebraic solutions for inequalities

Lesson outcome