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Linear Inequalities

Madhya Pradesh Board · Class 11 · Mathematics

Step-by-step guide to study Linear Inequalities in Madhya Pradesh Board Class 11 Mathematics. Topics to cover, practice strategy, and time allocation.

168 questions50 flashcards5 concepts

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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. There are 168 questions available for this chapter.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Linear Inequalities after a week. Use flashcards for quick recall. Solve previous year questions from 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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Frequently Asked Questions

What are the important topics in Linear Inequalities for Madhya Pradesh Board Class 11 Mathematics?
Linear Inequalities covers several key topics that are frequently asked in Madhya Pradesh Board Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Inequalities — Madhya Pradesh Board Class 11 Mathematics?
Understand the core concepts first, then work through the 168 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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