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Answer :
Final answer:
The cardinal number, or number of elements, in the set A {1/3, 2/4, 3/5, 4/6,..., 17/19, 18/20} is 18.
Explanation:
The cardinal number of a set, denoted as n(A) for a set A, refers to the number of elements in the set. In this case, you are asked to find n(A) for the set A = {1/3, 2/4, 3/5, 4/6,..., 17/19, 18/20}. This set follows a sequence with each fraction's numerator being one less than its denominator.
We can see that the first element of this set is 1/3 and the last is 18/20. The difference between the numerator and denominator for each fraction is 2. Therefore, we can count by increasing the numerator by 1 from 1 to 18 to find the total number of elements in the set.
By counting, we find there are 18 elements in this set. Therefore, the cardinal number for set A, n(A), is 18.
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