Year 11 - Maths
Linear inequalities in context
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 construct and solve linear inequalities from context.
Key Notes
- Inequalities are very common in real life
- They are used when a constraint is needed
- An example could be ensuring you do not exceed your budget for the week
Vocabulary To Learn
- Inequality: An inequality is used to show that one expression may not be equal to another.
Common Mistakes To Avoid
- Incorrectly interpreting inequalities due to the phrasing in English.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Inequalities are very common in real life. They are used when a constraint is needed.
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: Incorrectly interpreting inequalities due to the phrasing in English. Correction: It can be helpful to think about the context when interpreting the phrasing. If a speed limit of 30 mph, would it be acceptable to do more than 30 mph? Is the car allowed to travel at a lower speed at any point?
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
- 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.