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Sets — Revision Notes

ICSE · Class 11 · Mathematics

Sets revision notes for ICSE Class 11 Mathematics: 4 topics in quick points. Part of the ICSE Class 11 Mathematics syllabus.

58 questions30 flashcards3 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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Key Topics to Revise

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1. Sets and Their Representation

  • A set is a well-defined collection of objects.
  • A collection is well-defined when it is possible to decide whether an object belongs to it or not, and the decision does not vary from person to person.
  • Sets are denoted by capital letters such as A, B, C, and elements are usually denoted by small letters such as a, b, c.
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2. Subsets, Proper Subsets, Universal Set, and Intervals

  • If every element of A is also an element of B, then A is a subset of B, written A ⊆ B.
  • Every set is a subset of itself.
  • The empty set is a subset of every set.
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3. Power Set and Number of Subsets

  • The power set P(A) is the collection of all subsets of A.
  • In a power set, every element is a set.
  • If A = φ, then P(A) = {φ}.
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4. Operations on Sets

  • Union of A and B contains elements that are in A or in B or in both.
  • Intersection of A and B contains elements common to both sets.
  • Two sets are disjoint if their intersection is empty.

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Full Notes

Key Concepts

A set is a wellRoster form lists all elements insideImportant types include empty setA set A is a subsetOpen

Frequently Asked Questions

What are the important topics in Sets for ICSE Class 11 Mathematics?
Key topics in Sets include Sets and Their Representation, Subsets, Proper Subsets, Universal Set, and Intervals, Power Set and Number of Subsets, Operations on Sets. 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 58 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.

More resources for Sets

All ICSE Class 11 Mathematics Revision Notes

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