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Revision Notes

Inequalities — Revision Notes

ICSE · Class 11 · Mathematics

Inequalities revision notes for ICSE Class 11 Mathematics: 4 topics in quick points. Part of the ICSE Class 11 Mathematics syllabus.

58 questions36 flashcards11 formulas & key relations5 concepts

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An infographic classifying different types of inequalities based on variables, symbols, and degree, including numerical, literal, strict, slack, linear in one variable, linear in two variables, and qu
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Key Topics to Revise

1

1. Basic Ideas and Types of Inequalities

  • An inequality compares two real numbers or algebraic expressions using <, >, <=, or >=.
  • Strict inequalities use < or >.
  • Slack inequalities use <= or >=.
2

2. Rules for Simplifying Inequalities

  • Equal numbers may be added to both sides without changing the sign.
  • Equal numbers may be subtracted from both sides without changing the sign.
  • Multiplying or dividing both sides by a positive number keeps the sign unchanged.
3

3. Linear Inequalities and Domain-Based Answers

  • Linear inequalities in one variable have the form ax+b < 0, <= 0, > 0, or >= 0.
  • Linear inequalities in two variables have the form ax+by+c < 0, <= 0, > 0, or >= 0.
  • The same algebraic inequality can have different solution sets depending on whether x is natural, whole, integer, or real.
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4. Compound Inequalities

  • A compound inequality contains at least two inequalities joined by and or or.
  • For and, the solution set is the intersection of the individual solution sets.
  • For or, the solution set is the union of the individual solution sets.

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Full Notes

Key Concepts

Two real numbers or algebraic expressionsThe solution of an inequalityEqual numbers may be addedAn inequality containing at least twoThe absolute value of a real

Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 11 Mathematics?
Key topics in Inequalities include Basic Ideas and Types of Inequalities, Rules for Simplifying Inequalities, Linear Inequalities and Domain-Based Answers, Compound Inequalities. Study these first, then practise questions on each for Class 11 exams.
How should I revise Inequalities for Class 11 exams?
Learn the core ideas first, then work through the 58 practice questions on Inequalities. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Inequalities

All ICSE Class 11 Mathematics Revision Notes

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