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Syllabus

Inequalities — Syllabus

ICSE · Class 11 · Mathematics

What Inequalities covers in ICSE Class 11 Mathematics: 4 topics, for the 2026-27 session. 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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4 Topics · ICSE Class 11 Mathematics · 2026-27

Topics in Inequalities

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.
4

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.

Key Concepts

Central concept: Inequalities in one variable, two variables, compound forms, absolute-value forms, rational forms, quadratic forms, and real-life applications

Basic idea of inequalitySolution and solution setAlgebraic methodCompound inequalitiesAbsolute value inequalitiesSign rule for product and quotientMethod of intervalsQuadratic inequalities

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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.

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All ICSE Class 11 Mathematics Syllabus

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