📄 Exercise 3.2
Learn and practice Class 9 Mathematics Exercise 3.2 on Sets and Functions with step-by-step solutions. This page includes free downloadable notes and solved examples aligned with the PECTAA 2025 syllabus.
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Chapter 1
Real Numbers
Chapter 2
Logarithms
Chapter 3
Sets and Functions
Chapter 4
Factorization and Algebraic Manipulation
Chapter 5
Linear Equations and Inequalities
Chapter 6
Trigonometry
Chapter 7
Coordinate Geometry
Chapter 8
Logic
Chapter 9
Similar Figures
Chapter 10
Graphs of Functions
Chapter 11
Loci and Construction
Chapter 12
Information Handling
Chapter 13
Probability
Exercise 3.2 - Sets and Functions
This exercise focuses on set operations, Venn diagrams, and applications of the inclusion-exclusion principle to solve practical problems involving sets.
Exercise 3.2 provides practice problems that help students understand and apply various set operations including union, intersection, difference, and complement. The exercise also covers verification of set properties and solving real-world problems using Venn diagrams.
The exercise includes verification of commutative properties, De Morgan's Laws, and practical applications of the inclusion-exclusion principle in survey problems and sports participation scenarios.
Key Topics Covered
- Set operations (union, intersection, difference, complement)
- Verification of commutative properties of union and intersection
- De Morgan's Laws and their verification
- Venn diagrams and their applications
- Inclusion-Exclusion Principle for two and three sets
- Practical problems involving surveys and sports participation
- Set notation and tabular representation
Important Note:
Understanding set operations and the inclusion-exclusion principle is crucial for solving complex problems involving multiple sets. Pay special attention to the step-by-step verification of set properties and the construction of accurate Venn diagrams for visual representation of set relationships.
Created by Hira Science Academy | Aligned with PECTAA 2025 Syllabus