## Set Notation

In mathematics, a set is a collection of distinct elements. Note that a set can be considered an element in its own right. The elements in a set may be anything: numbers, people, letters of the alphabet, other sets, and so on. Conventionally, sets are symbolized by capital letters. In order for us to attain a clearer understanding of sets, we may look at some basic examples: Suppose A is the set of the first four positive even integers. Suppose B is the set of colors of the American flag. Hence, A={2,4,6,8} B={red, white, blue} Note that these sets are finite. The key relation between sets is membership. It is possible to have one set be an element of another. We may look at a simple example. Suppose C is the infinite set of all non-negative integers. We denote this as C={0,1,2,3,4,5,……}. Moreover, let D be the set of positive integers that are strictly less than 5. We denote this as D={1,2,3,4}. Here is some analysis about these two sets: 0... read more