Summary SSC 2026 Math Chapter 1: Sets – Full Notes + Venn Diagrams + 20 Solved MCQ Quiz (NCTB BD Syllabus)

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║ Tittle : SSC 2026 MATH
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║ CHAPTER 1: SETS
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║ Full Notes + 50 Solved Problems
║ + 20 MCQ Quiz with Answers
║ + VENN DIAGRAMS INCLUDED
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║ NCTB Syllabus • Bangladesh Board
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║ 100% Original • A+ Guaranteed
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║ Prepared by: MD.Jowel Rana
║ Institutions: Hajee Mohammad Danesh ║science and technology University Dinajpur
║-Bangladesh
║

[Venn Diagram - Two overlapping circles labeled A and B]




INTRODUCTION TO SETS

A set is a well-defined collection of distinct objects. The objects are called elements or
members.

Examples:
- Set of vowels: A = {a, e, i, o, u}
- Set of even numbers less than 10: B = {2, 4, 6, 8}

Basic Concepts:
- Universal Set (U): Contains all elements under consideration. Example: U = {1, 2, 3, ..., 10}

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- Empty Set (∅ or {}): No elements. Example: Set of people taller than 3 meters.
- Finite Set: Limited elements. Example: Months in a year = 12 elements.
- Infinite Set: Unlimited elements. Example: All natural numbers {1, 2, 3, ...}
- Cardinality n(A): Number of elements. Example: n({1,2,3}) = 3

[Diagram: Empty set symbol ∅ and universal set U as a rectangle]




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[Page 3 - Representation]
REPRESENTATION OF SETS

1. Roster Method (Listing):
- List all elements in braces {}, separated by commas.
- Order doesn't matter, no repeats.
- Example: C = {1, 3, 5} (odd numbers < 6)

2. Set-Builder Notation:
- {x | property of x}
- Example: C = {x | x is odd natural number, x < 6}

Interval Notation (for numbers):
- [1, 5] = {x | 1 ≤ x ≤ 5}
- (1, 5) = {x | 1 < x < 5}

Practice: Write roster for {x | x prime, x < 10}
Answer: {2, 3, 5, 7}