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Revision Notes

Linear Inequations — Revision Notes

ICSE · Class 8 · Mathematics

Linear Inequations revision notes for ICSE Class 8 Mathematics: 4 topics in quick points. Part of the ICSE Class 8 Mathematics syllabus.

39 questions24 flashcards12 formulas & key relations5 concepts

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Key Topics to Revise

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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 ≥.
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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.
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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.

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Full Notes

Key Concepts

An equation is a statementAn inequation is a statementThe symbols =If a and b are realThe replacement set

Frequently Asked Questions

What are the important topics in Linear Inequations for ICSE Class 8 Mathematics?
Key topics in Linear Inequations include Basic Ideas and Definitions, Replacement Set and Solution Set, Properties of Inequations, Number Line Representation. Study these first, then practise questions on each for Class 8 exams.
How should I revise Linear Inequations for Class 8 exams?
Learn the core ideas first, then work through the 39 practice questions on Linear Inequations. 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.

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All ICSE Class 8 Mathematics Revision Notes

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