examples of finite set
Answers
Answer:
natural number
(non- negative)
Examples of Finite Sets
The set described at the start of this lesson is an example of a finite set. Set A was defined as the prime numbers less than 20. There are eight prime numbers less than 20, so A had eight elements or a cardinality of 8.
Let's define a new set as follows:
B = (a, e, i, o, u)
B is the set of vowels in the English alphabet. B is a finite set because it has five elements or a cardinality of 5.
Let's define set C as the set of natural numbers less than 10. We can show C as follows:
C = {1, 2, 3, 4, 5, 6, 7, 8, 9}
We can also show C using an alternative form of set notation as shown in the following figure, which we will call Figure 1. The boldface capital N is often used to indicate the set of natural numbers. We can read the notation in Figure 1 as all elements x in the set of natural numbers such that x is less than 10.