Year 11 - Maths
Solving simple linear inequalities
Inequalities
Study Hub
Study Guides
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 simple linear inequalities.
Key Notes
- A linear inequality is solved using the rules of algebraic manipulation
- Multiplying or dividing by a negative number reverses the inequality sign
- This is due to a reflection in the number line at 0
- This can also be shown algebraically
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.
A linear inequality is solved using the rules of algebraic manipulation. Multiplying or dividing by a negative number reverses the inequality sign.
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 more complicated linear inequalities Study Guide
- Solving quadratic inequalities algebraically Study Guide
- Solving quadratic inequalities in one variable graphically Study Guide
Browse all guides in the Year 11 Maths guide library.