Skip to main content
Chapter 11 of 28
Formula Sheet

Inequalities — Formula Sheet

ICSE · Class 9 · Mathematics

12 formulas from Inequalities (ICSE Class 9 Mathematics) on one page, grouped by topic. Part of the ICSE Class 9 Mathematics syllabus.

28 questions25 flashcards12 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 formula sheet and more.

Free trial, no card needed.

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

One of 6 illustrations for Inequalities in Super Tutor — alongside flashcards, concept maps and practice questions.

12 Entries · 4 Sections

Formulas and Key Relations

1. Symbols and Basic Meaning

a > b

a < b

2. Triangle Side-Angle Relations

If AB > AC, then angle ACB > angle B

If angle CAB > angle B, then BC > AC

3. Theorem 5 and Triangle Inequality

Perpendicular from an external point to a line is the shortest

AB + AC > BC

AB + BC > AC

BC + AC > AB

4. Special Inequalities Using Bisector and Median

AB > BD and AC > CD

AB + AC > 2AD

AB + BC > 2BE; BC + AC > 2CF

AB + BC + AC > AD + BE + CF

Full sheet with units and worked examples

View All

Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 9 Mathematics?
Key topics in Inequalities include Basic Symbols and Meaning, Triangle Side-Angle Relationships, Perpendicular from an Outside Point, Triangle Inequality Results. Study these first, then practise questions on each for Class 9 exams.
How many formulas are in Inequalities?
This sheet lists 12 formulas from Inequalities, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Inequalities for Class 9 exams?
Learn the core ideas first, then work through the 28 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.

For serious students

Get the full Inequalities chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 9 Mathematics. Free to start, no card needed.