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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.
A set is a collection of well defined objects known as elements Opperatons of sets are 1)union - the union of sets A and B is the set that contains all elements in A and all elements in B. intersection - given two sets A and B, the intersection of A and B is a set that contains all elements in common between A and B. compliments - given set A, A compliment is the set of all elements in the universal set but not in A difference - A-B is a set containing all elements in A that are not in B. symmetric difference - it is the sum of A and B minus A intersection B.
If set A and set B are two sets then A is a subset of B whose all members are also in set B.
If the symbol is like "< " but rounded , then set A < B means every element of set A is found in set B, but there is some element of set B that is not in A. In words it says that A is a proper subset of B.