Solve an inequality
- Use inverse operations like equations.
- Keep the inequality sign.
- Reverse the sign if multiplying or dividing by a negative.
Answer: 2x ≤ 10 gives x ≤ 5
𝑥 Algebra
Inequalities
Learn inequalities with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Inequalities is part of algebra and appears often in KS3–GCSE maths.
- Inequalities show a range of possible values.
- Use the worked model, help guide, interactive question and flashcards to practise inequalities until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Inequalities learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Inequalities
- Learn the rule: Inequalities show a range of possible values.
- Worked model: Use inverse operations like equations. Keep the inequality sign. Reverse the sign if multiplying or dividing by a negative.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
Solve x + 5 < 12.
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Inequalities
BackInequalities show a range of possible values.
FrontExample answer: Solve x + 5 < 12.
Backx + 5 < 12 → x < 7.
FrontCommon check for Inequalities
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.