A set is defined as the collection or aggregate of all possible objects. The objects comprising a set are called elements or points of the set.
The union of two given sets A and B, denoted by, is defined as a set consisting of all possible points which belong to either A or B or both. Thus symbolically,
The intersection of two sets A and B, denoted by , is defined as a set consisting of all those elements which belong to both A and B, thus symbolically,
If A and B have no common point, that is , then the sets A and B are said to be disjoint, mutually exclusive or non – overlapping.
The relative difference of a set A from another set B, denoted by A – B is defined as a set consisting of those elements of A which do not belong to B. symbolically,
The complement or negative of any set A, denoted by is a set containing all elements of the universal set S, that are not elements of A, that is
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