Linear Inequalities — Study Plan
CBSE · Class 11 · Mathematics
A step-by-step study plan for Linear Inequalities, CBSE Class 11 Mathematics: what to learn first, what to practise and when to revise.
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Study Plan
Learn the Theory
Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Core Ideas and Types of Inequalities, 2. Rules for Solving Inequalities, 3. Solving Linear Inequalities in One Variable.
Practise
Solve the textbook exercises and extra practice questions. There are 168 questions available for this chapter.
Revise & Test
Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.
Spaced Revision
Come back to Linear Inequalities after a week. Use flashcards for quick recall and try past exam questions on this chapter.
What to Focus On
- Inequalities use <, >, ≤, or ≥.
- An inequality is different from an equation because it does not use =.
- Linear inequalities may involve one variable or two variables.
- 30x < 200 is not an equation.
- The solution depends on the domain: natural numbers, integers, or real numbers.
- Trial and error can be used first, but algebra gives the full solution efficiently.
- 40x + 20y ≤ 120 is a slack inequality.
- 40x + 20y = 120 is an equation.
- The variable x stands for registers and y stands for pens.
Common Mistakes to Avoid
An inequality can be solved exactly like an equation, and the inequality sign behaves the same way as the equal sign.
The inequality sign reverses whenever any operation is done, including addition or subtraction.
30x < 200 has one answer only, or x can be any real number because it is a simple inequality.
Memory Tips
Definition of inequality
Strict and slack inequalities
Linear inequalities in one variable and two variables
Strict inequalities versus slack inequalities in the chapter list
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Linear Inequalities
Practice Quiz
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Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
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