Britannica Sources used in this answer

How can membership in a set be shown with the symbols ∈ and ∉?

Created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.

In set theory, the symbols ∈ and ∉ are used to denote membership within a collection of objects.12

  • Membership (∈): To indicate that a specific object x is a member of a set A, you write x∈A.12
  • Non-membership (∉): To indicate that an object x is not a member of a set A, you write x∉A. This is formally understood as the negation of the membership relation, often abbreviated from the expression ~(x∈A).12

These symbols are fundamental to the logic of classes, where a set can be defined either by listing its members or by specifying a condition that its members must satisfy.12