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Syllabus

Linear Inequalities — Syllabus

CBSE · Class 11 · Mathematics

What Linear Inequalities covers in CBSE Class 11 Mathematics: 4 topics, for the 2026-27 session. Part of the CBSE Class 11 Mathematics syllabus.

168 questions50 flashcards18 formulas & key relations5 concepts

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4 Topics · CBSE Class 11 Mathematics · 2026-27

Topics in Linear Inequalities

1

1. Core Ideas and Types of Inequalities

  • An inequality is formed when two real numbers or two algebraic expressions are related by <, >, ≤, or ≥.
  • Examples of numerical inequalities: 3 < 5 and 7 > 5.
  • Examples of literal inequalities: x < 5, y > 2, x ≥ 3, y ≤ 4.
2

2. Rules for Solving Inequalities

  • Equal numbers may be added to or subtracted from both sides of an inequality without affecting the sign of inequality.
  • Both sides of an inequality can be multiplied or divided by the same positive number.
  • When both sides are multiplied or divided by a negative number, the inequality sign reverses.
3

3. Solving Linear Inequalities in One Variable

  • Start by simplifying both sides.
  • Move variable terms to one side and constants to the other using addition or subtraction.
  • If needed, divide by the coefficient of the variable.
4

4. Word Problems and Applications

  • Translate the statement into an inequality before solving.
  • Ravi’s spending leads to 30x < 200 because he buys only rice packets.
  • The solution set of 30x < 200 by trial and error over the given values is {0,1,2,3,4,5,6}.

Key Concepts

Central concept: Linear inequalities as statements comparing real numbers or algebraic expressions using <, >, ≤, or ≥, solved mainly by preserving or reversing inequality signs under allowed operations and represented on a number line

InequalityStrict inequalitySlack inequalityLinear inequality in one variableLinear inequality in two variablesQuadratic inequalitySolution of an inequalityRules for solving inequalities

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Frequently Asked Questions

What are the important topics in Linear Inequalities for CBSE Class 11 Mathematics?
Key topics in Linear Inequalities include Core Ideas and Types of Inequalities, Rules for Solving Inequalities, Solving Linear Inequalities in One Variable, Word Problems and Applications. Study these first, then practise questions on each for Class 11 exams.
How should I revise Linear Inequalities for Class 11 exams?
Learn the core ideas first, then work through the 168 practice questions on Linear 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 CBSE Class 11 Mathematics Syllabus

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