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

Inequalities on number lines

Maths

Checking and securing understanding of simultaneous equations

Non-solutions to simultaneous linear equations

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

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

Match the diagram to the correct inequality.

What inequality is represented in this diagram?

Which diagram shows all values which satisfy both $$x<1$$ and $$x>0$$ ? 

Which inequality represents all values which satisfy both of the drawn inequalities?

Match up the inequalities to the statements.

Which of these values satisfy the inequality $$x<3$$?

Which of these values satisfy the inequality $$x\ge2$$?

Which of these values satisfy the inequality $$x>-1$$?

Which of these values satisfy the inequality $$1<x\le3$$?

What is the value of $$a$$ on the number line?

Starter Quiz

Match up the inequalities to the statements.