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.

Solving a linear inequality graphically

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 set of linear inequalities graphically

Relating graphical solutions to algebraic solutions for inequalities

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

A {{}} is an area that graphically represents the solution to an inequality. We can label this area with an 'R'.

Which inequality is satisfied by this region?

Which inequality is represented graphically here?

This is the region that does not satisfy the inequality...

$$x>7$$ is an algebraic representation of...

Which of these values satisfy the inequality? $$x>7$$

Which of these coordinate pairs sit on this linear graph?

What is the equation of this linear graph?

Solving a linear inequality graphically

Lesson outcome