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Concept Maps

Inequalities — Concept Maps

ICSE · Class 11 · Mathematics

4 concept maps of Inequalities for ICSE Class 11 Mathematics, each also written out as a text outline. Part of the ICSE Class 11 Mathematics syllabus.

58 questions36 flashcards11 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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4 Concept Maps

Complete Inequalities Concept Map

Complete Inequalities Concept Map

The map in words

  • Inequalities
    • Types
      • Strict Inequalities
        • Less than
        • Greater than
      • Slack Inequalities
        • Less than equal
        • Greater than equal
      • Double Inequalities
        • Between values
    • Solution Methods
      • Algebraic Rules
        • Addition Subtraction
        • Multiplication Division
        • Sign reversal rule
      • Graphical Methods
        • Number line
        • Interval notation
        • Method of intervals
    • Special Cases
      • Absolute Value
        • Distance interpretation
        • Case analysis
      • Quadratic
        • Discriminant analysis
        • Factorization
      • Compound
        • AND conditions
        • OR conditions
    • Applications
      • Business Problems
      • Academic Scoring
      • Scientific Ranges
      • Engineering Tolerances

Complete Inequalities Concept Map

Complete Inequalities Concept Map

The map in words

  • Inequalities
    • Types
      • Linear ax + b < 0
      • Quadratic ax² + bx + c < 0
      • Rational P（x）/Q（x） < 0
      • Absolute Value |f（x）| < a
    • Solution Methods
      • Algebraic
        • Add Subtract
        • Multiply Divide
        • Sign Reversal
      • Wavy Curve
        • Find Zeros
        • Mark Intervals
        • Test Signs
      • Case Analysis
        • Absolute Value
        • Piecewise Functions
    • Applications
      • Business
        • Profit Loss
        • Optimization
      • Science
        • Temperature Ranges
        • Concentration Limits
      • Everyday
        • Budget Constraints
        • Time Limits

Types of Inequalities Overview

Types of Inequalities Overview

The map in words

  • Inequalities
    • Linear
      • One Variable
        • ax plus b greater than 0
        • Algebraic Solutions
      • Compound
        • AND Operations
        • OR Operations
        • Double Inequalities
    • Absolute Value
      • Less Than Type
        • Creates Interval
      • Greater Than Type
        • Creates Union
    • Quadratic
      • Factoring Method
      • Sign Chart Analysis
      • Discriminant Cases
    • Rational
      • Method of Intervals
      • Critical Points
      • Wavy Curve Method

Inequalities in one variable, two variables, compound forms, absolute-value forms, rational forms, quadratic forms, and real-life applications

Inequalities in one variable, two variables, compound forms, absolute-value forms, rational forms, quadratic forms, and real-life applications

The map in words

  • Inequalities in one variable, two variables, compound forms, absolute-value forms, rational forms, quadratic forms, and real-life applications
    • Basic idea of inequality
    • Solution and solution set
    • Algebraic method
    • Compound inequalities
    • Absolute value inequalities
    • Sign rule for product and quotient
    • Method of intervals
    • Quadratic inequalities

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Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 11 Mathematics?
Key topics in Inequalities include Basic Ideas and Types of Inequalities, Rules for Simplifying Inequalities, Linear Inequalities and Domain-Based Answers, Compound Inequalities. Study these first, then practise questions on each for Class 11 exams.
What do the concept maps for Inequalities show?
The 4 maps show how the ideas in Inequalities connect: Complete Inequalities Concept Map; Complete Inequalities Concept Map. Each map is also written out as an outline on this page.
How should I revise Inequalities for Class 11 exams?
Learn the core ideas first, then work through the 58 practice questions on 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 Inequalities

All ICSE Class 11 Mathematics Concept Maps

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