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

Solving more complicated linear inequalities

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

Which of these shows all solutions to the inequality $$19<2x+3 \le 21$$ ?

Which of these shows all solutions to the inequality $$-2 < -x < 1$$ ?

Which of these represents all values which satisfy both $$x>3$$ and $$4<x$$ ? 

What are the solutions to the inequality $$x+1<3x+1<x+7$$ ?

$$3x + 2 \le 4x + 3$$ and $$4x + 3 \le 2x + 9$$

Which is the correct way to separate $$3x+2 \le 4x+3 \le 2x+9$$ into two inequalities to solve?

Solve the inequality $$3x+2 \le 4x+3 \le 2x+9$$.

Which of these shows the solutions to the inequality $$3<2x+1$$?

The solution to $$\frac{x+5}{3} \ge 3$$ is when $$x \ge $${{}}

Which of these values satisfy the inequality $$3 < x \le 4 $$ ?

Which of these values satisfy the inequality $$-3 < x < -2 $$ ?

If $$-x > 3$$ which of the following is an equivalent inequality? 

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

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

Solving more complicated linear inequalities

Lesson outcome

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