Set Union
The union of two sets, A and B, is also a set. This union set contains all the elements in both A and B. So the union is the sum of set A and set B. The union is usually written with a symbol that looks like a U. If you have a set of two apples, and a set of two pears, the union of these two sets will contain four fruits: Two apples and two pears.
Set Intersection
Another set operation is the intersection. An intersection of two sets contains only elements which are present both in set A and set B. If we have two sets, one with two oranges and two apples, and another set with the same two apples and two pears, the intersection is the apples. Intersection is usually written with a symbol that looks like an inverted U.
Set Complimentarity
The compliment in set theory means everything except those objects in the set. In set theory, there is a term called "universal set" which basically means "everything." So the complement of set A is all of the objects in the universal set except those in set A. To use fruit again, if you have four apples, the complement of those four apples is all other apples in the universe.
Set Difference
In set theory, the difference between sets A and B is another set. It contains all elements of A that are not elements of B. In the example where A is two apples and two pears, and B is two pears, the difference is two apples.