Year 11 - Maths
Advanced problem solving with 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 use your knowledge of inequalities to solve problems.
Key Notes
- When handling a project, there are often constraints.
- Constraints exist for a variety of reasons, such as cost or supply limitations.
- Finding a set of possible solutions allows you to work within the constraints.
Vocabulary To Learn
- Inequality: An inequality is used to show that one expression may not be equal to another.
Common Mistakes To Avoid
- We are only interested in points that are in the region satisfied by all inequalities.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When handling a project, there are often constraints. Constraints exist for a variety of reasons, such as cost or supply limitations.
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: We are only interested in points that are in the region satisfied by all inequalities. Correction: With practical contexts, such as project management, it is useful to know when one constraint is not being met as it can suggest where additional resources (if available) should be allocated.
More Lessons In This Unit
- A single solution set 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.