LESSON 7 - UNIONS, INTERSECTIONS AND COMPLEMENTS

The elements that different sets have in common are the members of the intersection of the sets. The intersection of sets and are denoted .
The combination of all of the elements of different sets is called the union. The union of sets and are denoted .
All of the elements in the universal set, U, which are not members of the indicated set are referred to as the complement of the set. The complement of is written as .
EXAMPLE

If , and determine,
(a)
(b)
(c)
(d)
SOLUTION
Since the sets and both contain the elements and ,
Combining the elements in both sets and , no repeated elements, we get that
All of the members of that are NOT members of comprise the complement of . Therefore,