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The possible relationships between two sets (here arbitrarily named A and B) are:
- If each element of set A is also element of set B (and vice versa), the two sets are equal.
- If no element of set A is element of set B (and vice versa), the two sets are disjoint.
- If all elements of set A are also elements of set B, the set A is a subset of set B. If set B contains elements not found in set A, the set A is a proper or strict subset of set B. Set B is called supersetresp. proper superset of A.
- If set A and set B share some elements, but each set also has elements not found in the other set, the two sets intersect.
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