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How can membership in a set be shown with the symbols ∈ and ∉?
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In set theory, the symbols and are used to denote membership within a collection of objects.12
- Membership (): To indicate that a specific object is a member of a set , you write .12
- Non-membership (): To indicate that an object is not a member of a set , you write . This is formally understood as the negation of the membership relation, often abbreviated from the expression .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