Inequalities
ICSE · Class 9 · Mathematics
Summary of Inequalities for ICSE Class 9 Mathematics. Key concepts, important points, and chapter overview.
Overview
Inequalities are mathematical statements that show the relationship between two quantities that are not equal. In geometry, inequalities help us understand the relationships between sides and angles of triangles. The symbols > (greater than) and < (less than) are used to express these relationships.
Key Concepts
The symbol > means 'is greater
The symbol > means 'is greater than' and < means 'is less than'. For example, if side a is greater than side b, we write a > b. These symbols help us
If two sides of a triangle
If two sides of a triangle are unequal, then the angle opposite to the greater side is greater than the angle opposite to the smaller side. This is pr
If two angles of a triangle
If two angles of a triangle are unequal, then the side opposite to the greater angle is greater than the side opposite to the smaller angle. This is t
Of all lines that can be
Of all lines that can be drawn from a given point to a straight line, the perpendicular line is the shortest. This is proven using the property that a
In any triangle
In any triangle, the sum of any two sides is always greater than the third side. Also, the difference between any two sides is always less than the th
Learning Objectives
- Understand the meaning and notation of inequalities using > and < symbols
- Learn the relationship between unequal sides and opposite angles in triangles
- Apply the theorem that relates greater sides to greater opposite angles
- Use the converse theorem to relate greater angles to greater opposite sides
- Understand why perpendicular distance is the shortest distance from a point to a line
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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.
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