MathsYears 12–13Algebra and Functions

Inequalities

Solve linear, quadratic and rational inequalities; represent solutions on number lines and using set notation

What you'll learn

  1. 1

    Inequalities compare two things — like saying 'x is bigger than y' or 'x is smaller than y'. The signs < and > are like hungry crocodiles that always eat the bigger number! 🐊

  2. 2

    Which sign would you put here: 7 ___ 4? The crocodile eats the bigger number.

  3. 3

    On a number line, numbers get bigger as you go right. So x > 2 means x is anywhere to the right of 2.

  4. 4

    Which numbers satisfy x < 5? Let's find them together.

  5. 5

    Drag the point to show where x > 3 is on the number line.

  6. 6

    Which of these numbers satisfies x ≥ 2? (≥ means 'greater than or equal to')

  7. 7

    If x ≤ -1, which of these is a possible value for x?

Practise Inequalities with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.