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Concept Maps

Linear Inequalities — Concept Maps

Punjab Board · Class 11 · Mathematics

3 concept maps of Linear Inequalities for Punjab Board Class 11 Mathematics, each also written out as a text outline.

45 questions25 flashcards2 formulas & key relations5 concepts

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An infographic classifying different types of inequalities based on variables, symbols, and degree, including numerical, literal, strict, slack, linear in one variable, linear in two variables, and qu
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3 Concept Maps

Linear Inequalities - Complete Concept Overview

Linear Inequalities - Complete Concept Overview

The map in words

  • Linear Inequalities
    • Solving in One Variable
      • Basic Rules
        • Rule 1 Add/Subtract
        • Rule 2 Multiply/Divide
        • Sign Reversal
      • Problem Types
        • Simple Inequalities
        • Multi-step Inequalities
        • Fractional Inequalities
      • Graphical Rep
        • Number Line
        • Open vs Closed
    • Compound Inequalities
      • Double Inequalities
      • System of Two
      • Combined Solutions
    • Solving in Two Variables
      • Linear Forms
      • ax + by < c
      • Graphical Solutions
    • Applications
      • Real World Problems
        • Mixture Problems
        • Temperature
        • Averages
        • Geometry
      • Discrete Solutions
        • Natural Numbers
        • Integers
    • Interval Notation
      • Open Intervals
      • Closed Intervals
      • Mixed Intervals

Mind map showing the classification of inequalities by symbols (strict vs slack), variables (numerical vs literal), and structure (simple vs double).

Mind map showing the classification of inequalities by symbols (strict vs slack), variables (numerical vs literal), and structure (simple vs double).

The map in words

  • Types of Inequalities
    • By Symbols
      • Strict
        • Less than <
        • Greater than >
      • Slack
        • Less than or equal ≤
        • Greater than or equal ≥
    • By Variables
      • Numerical
        • No variables
        • Always true or false
      • Literal
        • Contains variables
        • Solution set varies
    • By Structure
      • Simple
        • Single expression
      • Double
        • Two conditions together

Flowchart showing the decision process for applying rules when solving inequalities, highlighting the critical step of reversing the sign when multiplying/dividing by negative numbers.

Flowchart showing the decision process for applying rules when solving inequalities, highlighting the critical step of reversing the sign when multiplying/dividing by negative numbers.

The map in words

  • Start: Linear Inequality
    • What operation?
      • Add/Subtract: Keep inequality sign unchanged
        • Continue solving
          • Simplify to find solution
            • Write solution set
      • Multiply/Divide by Positive: Keep inequality sign unchanged
      • Multiply/Divide by Negative: REVERSE inequality sign
        • Flip < to >, ≤ to ≥, etc.

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Frequently Asked Questions

What are the important topics in Linear Inequalities for Punjab Board Class 11 Mathematics?
Key topics in Linear Inequalities include Basic Concepts and Definitions, Rules for Solving Linear Inequalities, Solving Linear Inequalities in One Variable — Step-by-Step Methods, Worked Examples — One Variable Inequalities. Study these first, then practise questions on each for Class 11 exams.
What do the concept maps for Linear Inequalities show?
The 3 maps show how the ideas in Linear Inequalities connect: Linear Inequalities - Complete Concept Overview; Mind map showing the classification of inequalities by symbols (strict vs slack), variables (numerical vs literal), and structure (simple vs double).. Each map is also written out as an outline on this page.
How should I revise Linear Inequalities for Class 11 exams?
Learn the core ideas first, then work through the 45 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 Punjab Board Class 11 Mathematics Concept Maps

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