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Chapter Summary

Inequalities

ICSE · Class 7 · Mathematics

Summary of Inequalities for ICSE Class 7 Mathematics. Key concepts, important points, and chapter overview.

47 questions25 flashcards5 concepts

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Overview

An inequality is a mathematical statement that shows two expressions are not equal. The main symbols used are >, ≥, <, and ≤. An inequation is an inequality involving at least one variable. A linear inequation is an inequation with only one variable. The chapter also explains replacement sets, solut

Key Concepts

A mathematical statement

A mathematical statement, which shows that two expressions are not equal, forms an inequality. The symbols used are greater than, greater than or equa

x > 8 is read as

x > 8 is read as x is greater than 8. x ≥ 8 is read as x is greater than or equal to 8. x < 8 is read as x is less than 8. x ≤ 8 is read as x is less

An inequality involving at least one

An inequality involving at least one variable is known as an inequation. A linear inequation is an inequation with only one variable.

3x > 5x + 7

3x > 5x + 7 and 5y - 15 < 0 involve only one variable. 3x ≥ 5y + 7 and 5y - 18x ≤ 0 involve two variables.

The set from which the values

The set from which the values of the variable are chosen is called the replacement set. Examples include N, W, and I.

Learning Objectives

  • Understand the meaning of inequality and inequation
  • Read and interpret the symbols >, ≥, <, and ≤
  • Identify whether an inequation has one variable or two variables
  • Distinguish between replacement set and solution set
  • Solve inequations using addition, subtraction, multiplication, and division

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 Chapter Summary

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