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Revision Notes

Inequalities

ICSE · Class 7 · Mathematics

Quick revision notes for Inequalities — ICSE Class 7 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

47 questions25 flashcards5 concepts

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Key Topics to Revise

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.

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Full Notes

Key Concepts

A mathematical statementx > 8 is read asAn inequality involving at least one3x > 5x + 7The set from which the values

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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