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Syllabus

Sets — Syllabus

Punjab Board · Class 11 · Mathematics

What Sets covers in Punjab Board Class 11 Mathematics: 4 topics, for the 2026-27 session. Part of the Punjab Board Class 11 Mathematics syllabus.

45 questions25 flashcards2 formulas & key relations5 concepts

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A comparison illustrating how the same set can be represented using the Roster (listing) method and the Set-Builder method, with clear examples.
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4 Topics · Punjab Board Class 11 Mathematics · 2026-27

Topics in Sets

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1. Sets and Their Representations

  • A set is a WELL-DEFINED collection of objects. The objects are called elements or members.
  • Sets are denoted by CAPITAL letters: A, B, C, X, Y, Z, etc.
  • Elements are denoted by SMALL letters: a, b, c, x, y, z, etc.
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2. Types of Sets

  • EMPTY SET (Null Set / Void Set): A set with NO elements. Denoted by φ or {}. Example: {x : x is a natural number between 1 and 2} = φ.
  • Note: φ ≠ {0}. The set {0} has one element (zero), but φ has no elements.
  • FINITE SET: A set with a definite (countable) number of elements, including the empty set. Example: {1,2,3,4,5} is finite with n(A)=5.
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3. Subsets, Supersets, and Power Set

  • SUBSET: A is a subset of B (written A ⊂ B) if EVERY element of A is also an element of B.
  • A ⊂ B means: if a ∈ A, then a ∈ B (using implication ⇒).
  • EVERY SET IS A SUBSET OF ITSELF: A ⊂ A for all sets A.
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4. Intervals as Subsets of Real Numbers

  • For a, b ∈ R and a < b, there are four types of intervals:
  • OPEN INTERVAL (a, b) = {x : a < x < b} — both endpoints EXCLUDED.
  • CLOSED INTERVAL [a, b] = {x : a ≤ x ≤ b} — both endpoints INCLUDED.

Key Concepts

A set is a wellIn roster formIn setThe empty set (denoted φA finite set has a definite

Work through every topic in Sets with notes and quizzes

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Frequently Asked Questions

What are the important topics in Sets for Punjab Board Class 11 Mathematics?
Key topics in Sets include Sets and Their Representations, Types of Sets, Subsets, Supersets, and Power Set, Intervals as Subsets of Real Numbers. Study these first, then practise questions on each for Class 11 exams.
How should I revise Sets for Class 11 exams?
Learn the core ideas first, then work through the 45 practice questions on Sets. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Punjab Board Class 11 Mathematics Syllabus

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