To find the cardinality of the set \( A \), we need to determine the number of distinct elements it contains. The cardinality of a set is simply the count of its elements.
The set \( A \) is given as:
[tex]\[ A = \{12, 14, 16, 18, 20\} \][/tex]
Step-by-step process:
1. Identify all distinct elements in the set:
First, list out all the elements present in the set \( A \). These elements are:
[tex]\[ 12, 14, 16, 18, 20 \][/tex]
2. Count the elements:
Next, count how many elements are in this list. By counting each element, we have:
[tex]\[ 12, 14, 16, 18, 20 \][/tex]
- The first element is 12.
- The second element is 14.
- The third element is 16.
- The fourth element is 18.
- The fifth element is 20.
Thus, there are 5 elements in the set.
As a result, the cardinality of set \( A \) is:
[tex]\[ n(A) = 5 \][/tex]
