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Linear Inequalities

Madhya Pradesh Board · Class 11 · Mathematics

Quick revision notes for Linear Inequalities — Madhya Pradesh Board Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

168 questions50 flashcards5 concepts

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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.
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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.
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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.
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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}.

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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 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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