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Year 11
Higher

Inequalities on number lines

I can represent inequalities on a number line and what values satisfy an inequality based on the notation used.

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New
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Year 11
Higher

Inequalities on number lines

I can represent inequalities on a number line and what values satisfy an inequality based on the notation used.

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Share activities with pupils
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Lesson details

Key learning points

  1. Inequalities can be represented algebraically
  2. Inequalities can be represented graphically on a number line
  3. The diagram can indicate whether the inequality is a strict inequality
  4. Multiple inequalities can be shown on one number line

Keywords

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

Common misconception

Incorrectly interpreting the inequality diagram.

A filled in circle means the value is valid. An empty circle means the inequality is strict.

Pupils could use MWBs to draw their own inequalities on a number line and have a peer write the inequality represented. Additional challenge can be introduced by allowing multiple inequalities to be drawn on the same number line.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
Match up the inequalities to the statements.
Correct Answer:$$x<-2$$,values less than -2

values less than -2

Correct Answer:$$x\le-2$$,values less than or equal to -2

values less than or equal to -2

Correct Answer:$$x>-2$$,values greater than -2

values greater than -2

Correct Answer:$$x\ge-2$$,values greater than or equal to -2

values greater than or equal to -2

Q2.
Which of these values satisfy the inequality $$x<3$$?
Correct answer: $$x=1$$
Correct answer: $$x=2$$
$$x=3$$
$$x=4$$
$$x=5$$
Q3.
Which of these values satisfy the inequality $$x\ge2$$?
$$x=-3$$
Correct answer: $$x=2$$
$$x=1.47$$
Correct answer: $$x=2.06$$
$$x=\frac{5}{6}$$
Q4.
Which of these values satisfy the inequality $$x>-1$$?
Correct answer: $$x=0$$
$$x=-1$$
$$x=-2$$
$$x=-\frac{4}{3}$$
Correct answer: $$x=-\frac{6}{7}$$
Q5.
Which of these values satisfy the inequality $$1<x\le3$$?
1
Correct answer: 3
5
Correct answer: 1.3
3.0004
Q6.
What is the value of $$a$$ on the number line?
An image in a quiz
Correct Answer: 18

Exit quiz

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6 Questions

Q1.
Match the diagram to the correct inequality.
An image in a quiz
Correct Answer:A,$$x\le1$$

$$x\le1$$

Correct Answer:B,$$x\ge1$$

$$x\ge1$$

Correct Answer:C,$$x>1$$

$$x>1$$

Correct Answer:D,$$x<1$$

$$x<1$$

Q2.
What inequality is represented in this diagram?
An image in a quiz
$$-1<x<1$$
$$-1\le x \le 1$$
Correct answer: $$-1<x \le 1$$
$$-1\le x<1$$
Q3.
What inequality is represented in this diagram?
An image in a quiz
$$1<x<2$$
$$1\le x<2$$
$$1<x$$ or $$x>2$$
Correct answer: $$x\le 1$$ or $$x>2$$
$$x\le 1$$ or $$x\le 2$$
Q4.
Which diagram shows all values which satisfy both $$x<1$$ and $$x>0$$ ?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q5.
Which inequality represents all values which satisfy both of the drawn inequalities?
An image in a quiz
$$1<x<2$$
$$x<1$$ or $$x>2$$
Correct answer: $$x<1$$
$$x<2$$
Q6.
Which inequality represents all values which satisfy both of the drawn inequalities?
An image in a quiz
$$-1\le x < 2$$
$$-1\le x < 1$$
Correct answer: $$0\le x < 1$$
$$0\le x < 2$$