What is 2 sets?

Set Theory Essentials

Here's a breakdown of two important sets in mathematics:

1. The Empty Set (∅ or {})

  • Represents a set containing no elements.
  • It is a subset of every set.
  • Its cardinality (number of elements) is zero.
  • Often used as a starting point in set operations.
  • Important for defining other sets through set-builder notation. For more info, click here.

2. The Universal Set (U)

  • Represents the set of all possible elements under consideration in a specific context.
  • All other sets in that context are subsets of the universal set.
  • The complement of a set is always defined with respect to a universal set.
  • The specific elements of the universal set depend on the problem domain. For more info, click here.