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Linear Inequations

ICSE · Class 8 · Mathematics

Complete topic list for Linear Inequations in ICSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

39 questions24 flashcards5 concepts

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4 Topics · ICSE Class 8 Mathematics

Topics in Linear Inequations

1

1. Basic Ideas and Definitions

  • An equation is a statement which says that one thing is equal to another.
  • An inequation is a statement which says that one thing is not equal to another, either greater or lesser.
  • Connecting verbs are the symbols =, ≠, <, >, ≤, and ≥.
2

2. Replacement Set and Solution Set

  • The replacement set, also called the universal set, is the set from which the value of x is chosen.
  • The solution set, also called the truth set, is the set of values from the replacement set that satisfy the inequation.
  • The same inequation can have different solution sets for different replacement sets.
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3. Properties of Inequations

  • Adding the same number to each side of an inequation does not change the sign of inequality.
  • Subtracting the same number from each side of an inequation does not change the sign of inequality.
  • Multiplying each side of an inequation by a positive number does not change the sign of inequality.
4

4. Number Line Representation

  • A number line is a graph, a straight line, on which real numbers are marked.
  • The solution of every inequation can be represented on a number line.
  • Thick dots on the number line represent the solution for discrete solution sets.

Key Concepts

Central concept: Linear Inequations

EquationInequationConnecting-verbsReplacement setSolution setProperties of inequationsNumber lineLinear inequation forms

Frequently Asked Questions

What are the important topics in Linear Inequations for ICSE Class 8 Mathematics?
Linear Inequations covers several key topics that are frequently asked in ICSE Class 8 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 Inequations — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 39 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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All 25 chapters — ICSE Class 8 Mathematics Syllabus

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