Inequalities
ICSE · Class 9 · Mathematics
Complete topic list for Inequalities in ICSE Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
Topics in Inequalities
Basic Inequality Symbols and Concepts
- The symbol '>' means 'is greater than' (Example: 5 > 3)
- The symbol '<' means 'is less than' (Example: 2 < 7)
- In triangles, there are special relationships between sides and their opposite angles
Theorem 3: Unequal Sides and Opposite Angles
- If two sides of a triangle are unequal, the greater side has the greater angle opposite to it
- This theorem helps us determine angle relationships when we know side lengths
- The proof involves constructing an equal side and using properties of isosceles triangles
Theorem 4: Unequal Angles and Opposite Sides
- If two angles of a triangle are unequal, the greater angle has the greater side opposite to it
- This is the converse of Theorem 3
- When we know angle measurements, we can determine side relationships
Theorem 5: Perpendicular is the Shortest Distance
- Of all lines drawn from an external point to a straight line, the perpendicular is the shortest
- This theorem establishes the concept of shortest distance
- Any oblique line from the point to the line will be longer than the perpendicular
Key Concepts
Get detailed syllabus for Inequalities
Super Tutor gives you interactive content for every chapter of ICSE Class 9 Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently 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?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually