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Linear Inequation

ICSE · Class 10 · Mathematics

Quick revision notes for Linear Inequation — ICSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

30 questions5 concepts

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A single diagram illustrating closed, open, and semi-open/semi-closed intervals on a number line, showing the notation and graphical representation for each type.
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Key Topics to Revise

1

Basic Concepts and Definitions

  • An inequation is a mathematical statement comparing two expressions using inequality symbols
  • Linear inequations involve variables with degree 1 only
  • The general form is ax + b > 0, ax + b < 0, ax + b ≥ 0, or ax + b ≤ 0 where a ≠ 0
2

Interval Notation and Number Line Representation

  • Open interval (a, b): excludes endpoints a and b, shown with hollow circles
  • Closed interval [a, b]: includes endpoints a and b, shown with filled circles
  • Semi-open intervals (a, b] or [a, b): include one endpoint only
3

Rules for Solving Linear Inequations

  • Addition-Subtraction Rule: Same operation on both sides maintains inequality direction
  • Multiplication-Division by positive number: Inequality direction remains same
  • Multiplication-Division by negative number: Inequality direction reverses
4

Solving Linear Inequations - Step by Step Method

  • Step 1: Simplify both sides by removing brackets and combining like terms
  • Step 2: Move all variable terms to one side and constants to other side
  • Step 3: Apply multiplication/division rule carefully (watch for negative coefficients)

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Full Notes

Key Concepts

A mathematical statement of the formThe set from which valuesThe set of all values fromDifferent ways to represent continuous rangesAddition

Frequently Asked Questions

What are the important topics in Linear Inequation for ICSE Class 10 Mathematics?
Linear Inequation covers several key topics that are frequently asked in ICSE Class 10 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 Inequation — ICSE Class 10 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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