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definition Example
{ } set a collection of elements A = {3,7,9,14},
B = {9,14,28}
| such that so that A = {x | x∈\mathbb{R}, x<0}
A⋂B intersection objects that belong to set A and set B A ⋂ B = {9,14}
A⋃B union objects that belong to set A or set B A ⋃ B = {3,7,9,14,28}
A⊆B subset A is a subset of B. set A is included in set B. {9,14,28} ⊆ {9,14,28}
A⊂B proper subset / strict subset A is a subset of B, but A is not equal to B. {9,14} ⊂ {9,14,28}
A⊄B not subset set A is not a subset of set B {9,66} ⊄ {9,14,28}
A⊇B superset A is a superset of B. set A includes set B {9,14,28} ⊇ {9,14,28}
A⊃B proper superset / strict superset A is a superset of B, but B is not equal to A. {9,14,28} ⊃ {9,14}
A⊅B not superset set A is not a superset of set B {9,14,28} ⊅ {9,66}
2A power set all subsets of A
\mathcal{P}(A) power set all subsets of A
A=B equality both sets have the same members A={3,9,14},
A=B {z | z=a+bi, -∞<a<∞