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

Solving more complicated linear inequalities

Maths

Checking and securing understanding of simultaneous equations

Non-solutions to simultaneous linear equations

Inequalities on number lines

Solving simple 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

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?

Starter Quiz

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