Set Operations include Set Union, Set Intersection, Set Difference, Complement of Set, and Cartesian Product.

Set Union: The union of sets A and B (denoted by A∪B) is the set of elements which are in A, in B, or in both A and B. Hence, A∪B={x|x∈A OR x∈B}.

Set Intersection: The intersection of sets A and B (denoted by A∩B) is the set of elements which are in both A and B. Hence, A∩B={x|x∈A AND x∈B}.

Set Difference/ RELATIVE Complement

The set difference of sets A and B (denoted by A–B) is the set of elements which are only in A but not in B. Hence, A−B={x|x∈A AND x∉B}.

Complement of a Set: The complement of a set A (denoted by A′A′) is the set of elements which are not in set A. Hence, A′={x|x∉A}.

More specifically, A′=(U−A) where U is a UNIVERSAL set which contains all objects.

Set Operations include Set Union, Set Intersection, Set Difference, Complement of Set, and Cartesian Product.

Set Union: The union of sets A and B (denoted by A∪B) is the set of elements which are in A, in B, or in both A and B. Hence, A∪B={x|x∈A OR x∈B}.

Set Intersection: The intersection of sets A and B (denoted by A∩B) is the set of elements which are in both A and B. Hence, A∩B={x|x∈A AND x∈B}.

Set Difference/ Relative Complement

The set difference of sets A and B (denoted by A–B) is the set of elements which are only in A but not in B. Hence, A−B={x|x∈A AND x∉B}.

Complement of a Set: The complement of a set A (denoted by A′A′) is the set of elements which are not in set A. Hence, A′={x|x∉A}.

More specifically, A′=(U−A) where U is a universal set which contains all objects.