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Syllabus

Linear Inequation — Syllabus

ICSE · Class 10 · Mathematics

What Linear Inequation covers in ICSE Class 10 Mathematics: 3 topics, for the 2026-27 session. Part of the ICSE Class 10 Mathematics syllabus.

29 questions27 flashcards12 formulas & key relations5 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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3 Topics · ICSE Class 10 Mathematics · 2026-27

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

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Frequently Asked Questions

What are the important topics in Linear Inequation for ICSE Class 10 Mathematics?
Key topics in Linear Inequation include Core Ideas and Definitions, Rules of Inequality and Interval Notation, Worked Examples and Standard Question Types. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How should I revise Linear Inequation for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 29 practice questions on Linear Inequation. 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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