Set Notation and Operations
- Membership: x S denotes that x is a member of set S.
x S denotes that x is not a member.
- Union: S T = { x | x S x T }
(the set of elements x such that x is a member of set S
or x is a member of set T (or both)). means ``or''.
- Intersection:
S T = { x | x S x T }
(the set of elements x such that x is a member of set S
and x is a member of set T). means ``and''.
- Set Difference:
S - T = { x | x S x T }
(the set of elements x such that x is a member of set S
and x is not a member of set T).
- Subset: S T is true if every element of S is an element
of T. A proper subset S T is smaller
than the original set.
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