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Year 11 - Maths

Solution set notation

Inequalities

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 represent a solution set using set notation.

Key Notes

  • A solution set can be presented in many different ways
  • One of these ways is using set notation

Vocabulary To Learn

  • Inequality: An inequality is used to show that one expression may not be equal to another.
  • Solution: A solution is a value, or set of values, that can be put in place of an unknown which makes the equation true.

Common Mistakes To Avoid

  • 3 > x > 9 is a valid way to combine x < 3 and x > 9

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

A solution set can be presented in many different ways. One of these ways is using set 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: 3 > x > 9 is a valid way to combine x < 3 and x > 9. Correction: Test a value to show pupils that this does not make sense. When x = 0, it is true that x < 3 but not true that x > 9 so 3 > 0 > 9 does not work.

More Lessons In This Unit

Browse all guides in the Year 11 Maths guide library.