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Inequalities

ICSE · Class 7 · Mathematics

Complete topic list for Inequalities in ICSE Class 7 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

47 questions25 flashcards5 concepts

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4 Topics · ICSE Class 7 Mathematics

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

Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 7 Mathematics?
Inequalities covers several key topics that are frequently asked in ICSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Inequalities — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 47 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 25 chapters — ICSE Class 7 Mathematics Syllabus

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