Skip to main content
Super TutorResources
Chapter 5 of 14
Revision Notes

Linear Inequalities — Revision Notes

CBSE · Class 11 · Mathematics

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

168 questions50 flashcards18 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Linear Inequalities? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

Free trial, no card needed.

Key Topics to Revise

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}.

Get complete notes with diagrams and examples

Full Notes

Key Concepts

Two real numbers or two algebraicStrict inequalities use < or >Expressions of the form ax +Expressions of the form ax +Equal numbers may be added

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.

More resources for Linear Inequalities

All CBSE Class 11 Mathematics Revision Notes

For serious students

Get the full Linear Inequalities chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for CBSE Class 11 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free