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

A single solution set

Maths

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.

Inequalities

What is the solution set for both inequalities represented on this number line simultaneously? 

What is the solution set for the inequalities $$ 5 < x < 10$$ and $$ x \le 8$$ simultaneously ? 

What is the solution set for both these inequalities simultaneously: $$3x+4 < 10$$ and $$\frac{2x+3}{5}>-1$$?

What is the solution set for both these inequalities simultaneously: $$5-2x < 7$$ and $$3(2x-5) \ge 3$$?

Which two inequalities have no solutions simultaneously? 

Which two inequalities have exactly one solution simultaneously? 

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

What inequality is represented on this number line?

What is the solution to the inequality $$13>4x-7$$ ?

Which of these shows all solutions to the inequality $$12 < 3(2x-4) < 24$$ ?

Which of these shows all solutions to the inequality $$2x-6 < 3 - x < x+5$$ ?

This lesson will be removed by end of Summer Term 2025.

A single solution set

Lesson outcome

This lesson will be removed by end of Summer Term 2025.