find n(A)for each set
A={1/2, -1/2, 1/3, -1/3,..., 1/10, -1/10}
what is n(a set)?
looks like the fractions from 1/2 , 1/3 . ... 1/10 come in pairs with their negatives,
I count 18 of them
n(A) is the cardinal of the sets and how did you get the #18
o ok i got it 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 thanks
To find the number of elements in a set, we need to count the elements. In this case, set A is a set of fractions. Let's write out the set in a more organized way:
A = {1/2, -1/2, 1/3, -1/3, ..., 1/10, -1/10}
From the given set, it is clear that there are 10 positive fractions (1/2, 1/3, ... 1/10) and 10 negative fractions (-1/2, -1/3, ... -1/10). Therefore, the set A contains 10 positive elements and 10 negative elements.
To find the total number of elements in the set, we add the number of positive elements and the number of negative elements:
n(A) = 10 + 10 = 20
So, the set A contains a total of 20 elements.