Year 11 - Maths
A single solution set
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 compare two solution sets from two different inequalities and define a solution set that satisfies both inequalities.
Key Notes
- When combining solution sets, you may wish to use a number line
- Once you are certain, you can write the solution set using algebraic notation
- Both inequalities must be solved before the solution set can be determined
Vocabulary To Learn
- Inequality: An inequality is used to show that one expression may not be equal to another.
Common Mistakes To Avoid
- Pupils may struggle to combine inequalities.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When combining solution sets, you may wish to use a number line. Once you are certain, you can write the solution set using algebraic notation.
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: Pupils may struggle to combine inequalities. Correction: Encourage pupils to use a number line and draw on the potential solutions. In order for a solution set to be valid for all the stated inequalities, it must include values that satisfy all potential solution restrictions.
More Lessons In This Unit
- 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
- Solving simple linear inequalities Study Guide
Browse all guides in the Year 11 Maths guide library.