Inequalities
ICSE · Class 9 · Mathematics
Quick revision notes for Inequalities — ICSE Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
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
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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.
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