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Syllabus

Inequalities — Syllabus

ICSE · Class 7 · Mathematics

What Inequalities covers in ICSE Class 7 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 7 Mathematics syllabus.

47 questions25 flashcards11 formulas & key relations5 concepts

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4 Topics · ICSE Class 7 Mathematics · 2026-27

Topics in Inequalities

1

Core Ideas and Definitions

  • An inequality shows that two expressions are not equal.
  • An inequation is an inequality involving at least one variable.
  • A linear inequation is an inequation with only one variable.
2

Properties of Inequations

  • Adding the same number to each side of an inequation does not change the inequality.
  • Subtracting the same number from each side of an inequation does not change the inequality.
  • Multiplying each side by the same positive number does not change the inequality.
3

Replacement Set and Solution Set Examples

  • For x ≤ 6, x ∈ N, the solution set is {1, 2, 3, 4, 5, 6}.
  • For x > 10, x ∈ N, the solution set is {11, 12, 13, 14, ...}.
  • For y ≤ 3, y ∈ W, the solution set is {0, 1, 2, 3}.
4

Solving Inequations: Worked Examples

  • Simplify both sides carefully.
  • Use addition, subtraction, multiplication, or division to isolate the variable.
  • Reverse the sign only for negative multiplication or division.

Key Concepts

Central concept: Inequalities are mathematical statements that compare two expressions using signs such as >, <, >=, and <=, and their solutions are found by using rules, replacement sets, solution sets, and number lines.

InequalityInequationLinear inequationReplacement setSolution setProperties of inequationsGraphical representationWorked examples

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Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 7 Mathematics?
Key topics in Inequalities include Core Ideas and Definitions, Properties of Inequations, Replacement Set and Solution Set Examples, Solving Inequations: Worked Examples. Study these first, then practise questions on each for Class 7 exams.
How should I revise Inequalities for Class 7 exams?
Learn the core ideas first, then work through the 47 practice questions on Inequalities. 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 7 Mathematics Syllabus

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