Skip to main content
Super TutorResources
Chapter 15 of 25
Chapter Summary

Inequalities — Chapter Summary

ICSE · Class 7 · Mathematics

Summary of Inequalities for ICSE Class 7 Mathematics. Key concepts: A mathematical statement, x > 8 is read as and An inequality involving.

47 questions25 flashcards11 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Inequalities? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.

Try Super Tutor — Free

Free trial, no card needed.

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?
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.

More resources for Inequalities

All ICSE Class 7 Mathematics Chapter Summary

For serious students

Get the full Inequalities chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 7 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free