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Linear Inequation

ICSE · Class 10 · Mathematics

Complete topic list for Linear Inequation in ICSE Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

29 questions27 flashcards5 concepts

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3 Topics · ICSE Class 10 Mathematics

Topics in Linear Inequation

1

Core Ideas and Definitions

  • An equation is a statement of equality between two expressions.
  • An inequation states that one quantity is either less than or greater than another quantity.
  • A linear inequation has each variable in first degree only and no term involving the product of variables.
2

Rules of Inequality and Interval Notation

  • If the same number or expression is added to or subtracted from both sides of an inequation, the sign of inequality remains the same.
  • If both sides are multiplied or divided by the same positive number, the sign remains the same.
  • If both sides are multiplied or divided by the same negative number, the sign of inequality is reversed.
3

Worked Examples and Standard Question Types

  • 13x<200 gives different solution sets for different replacement sets.
  • 7+3x≤35-2x with whole numbers gives a finite solution set.
  • 2x-3/2≥6-5x with integers gives all integers from 2 onward.

Key Concepts

Central concept: Linear inequation in one variable and its solution set

Equation vs inequationLinear inequationOne-variable linear inequationReplacement setSolution setNumber line representationInterval notationInequality rules

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?
Understand the core concepts first, then work through the 29 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 22 chapters — ICSE Class 10 Mathematics Syllabus

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