Skip to main content
Super TutorResources
Chapter 11 of 28
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Chapter Summary

Inequalities

ICSE · Class 9 · Mathematics

Summary of Inequalities for ICSE Class 9 Mathematics. Key concepts, important points, and chapter overview.

28 questions25 flashcards5 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

1,000+ Class 9 students started this chapter today

A diagram illustrating Theorem 3: If two sides of a triangle are unequal, the greater side has the greater angle opposite to it. Show triangle ABC with AB > AC, and highlight the angles opposite to th
Super Tutor

This is just one of 6+ visuals inside Super Tutor's Inequalities chapter

Explore the full set

Overview

Inequalities compare quantities that are not equal. The signs greater than and less than are used to show the relation between numbers or lengths. In geometry, inequalities are especially important for triangles, where side lengths and angle sizes are closely linked. The chapter develops the idea th

Key Concepts

The sign > means is greater

The sign > means is greater than, and the sign < means is less than. These signs are used to compare numbers, lengths, and other quantities.

If two sides of a triangle

If two sides of a triangle are unequal, the greater side has the greater angle opposite to it. For triangle ABC, if AB>AC, then angle ACB is greater t

If two angles of a triangle

If two angles of a triangle are unequal, the greater angle has the greater side opposite to it. For triangle ABC, if angle CAB is greater than angle B

Of all the lines drawn from

Of all the lines drawn from a point outside a line to that line, the perpendicular is the shortest. If OP is perpendicular to AB and Q is any other po

The sum of the lengths

The sum of the lengths of any two sides of a triangle is always greater than the third side. For triangle ABC, AB+AC>BC, AB+BC>AC, and BC+AC>AB.

Learning Objectives

  • Understand the meaning of greater than and less than signs.
  • Use the relation between unequal sides and unequal angles in a triangle.
  • Apply the converse result: larger angles lie opposite larger sides.
  • Use the shortest-distance property of the perpendicular from a point to a line.
  • Apply triangle inequality results for sums and differences of sides.

Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 9 Mathematics?
Inequalities covers several key topics that are frequently asked in ICSE Class 9 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 9 Mathematics?
Understand the core concepts first, then work through the 28 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.

More resources for Inequalities

All 28 chapters — ICSE Class 9 Mathematics Chapter Summary

For serious students

Get the full Inequalities chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 9 Mathematics.

Try Super Tutor Free
Try the full chapter — Free