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Inequalities

ICSE · Class 11 · Mathematics

Complete topic list for Inequalities in ICSE Class 11 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

58 questions36 flashcards5 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

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

Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 11 Mathematics?
Key topics in Inequalities include Complete Inequalities Concept Map, Complete Inequalities Concept Map, Types of Inequalities Overview. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Inequalities — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 58 practice questions available for this chapter. Revise formulas and 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 18 chapters — ICSE Class 11 Mathematics Syllabus

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