Year 11 - Maths
Solving more complicated linear inequalities
Inequalities
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils extend their understanding of inequalities and consider a range of contextual inequalities and ways to find and represent their solutions.
Lesson Summary
You will learn to solve more complicated linear inequalities.
Key Notes
- Inequalities can be combined to be more efficient
- By treating the combined inequality as two separate inequalities, you can easily solve
- There may be a set of possible values, inequality notation can be used to communicate them efficiently
Vocabulary To Learn
- Inequality: An inequality is used to show that one expression may not be equal to another.
Common Mistakes To Avoid
- Dividing or multiplying by -1 does not change the inequality sign.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Inequalities can be combined to be more efficient. By treating the combined inequality as two separate inequalities, you can easily solve.
2. Use this key word in a maths sentence and explain it clearly. 'Inequality'
An inequality is used to show that one expression may not be equal to another. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Dividing or multiplying by -1 does not change the inequality sign. Correction: 2 < 3 becomes -2 > -3 when both sides are multiplied by -1.
More Lessons In This Unit
- A single solution set Study Guide
- Advanced problem solving with linear inequalities Study Guide
- Checking and securing understanding of simultaneous equations Study Guide
- Inequalities on number lines Study Guide
- Linear inequalities in context Study Guide
- Non-solutions to simultaneous linear equations Study Guide
- Problem solving with linear inequalities Study Guide
- Relating graphical solutions to algebraic solutions for inequalities Study Guide
- Solution set notation Study Guide
- Solving a linear inequality graphically Study Guide
- Solving a set of linear inequalities graphically Study Guide
- Solving quadratic inequalities algebraically Study Guide
- Solving quadratic inequalities in one variable graphically Study Guide
- Solving simple linear inequalities Study Guide
Browse all guides in the Year 11 Maths guide library.