Set Theory Discrete Mathematics Study Notes (Part-1)

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Set Theory Discrete Mathematics Study Notes (Part-1)- Set Theory topic comes under discrete mathematics which is conducted in 2 parts first part includes Types of Set, Cartesian Product of Set, Properties of Set.

This topic is important for various competitive exams such as GATE CSE, SSC JE, ISRO, ESE, IES and other computer science exams.


A set is an unordered collection of well-defined objects.

The objects in a set are known as the elements or members of a particular set.

  • ℕ be set of natural numbers: {1, 2, 3, ….}
  • ℤ be set of integers: {…, -2, -1, 0, 1, 2, ….}
  • ℚ be set of rational numbers
  • ℝ be set of real numbers
  • ℂ be set of complex numbers

Types of Set


Cartesian Product of Sets


Properties of Sets


Relation of Set





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