The value of card(B) is card(B) = 4954
The set is given as:
B={1,3,5,7,9,….9907}
The above set is the set of odd numbers from 1 to 9907.
The number of elements is the cardinality
And it can be calculated using
L = a + (n - 1)d
Where
L = 9907
a = 1
d = 2
So, we have:
9907 = 1 + (n - 1)2
Subtract 1 from both sides
9906 = (n - 1)2
Divide by 2
n - 1 = 4953
Add 1 to both sides
n = 4954
This means that
card(B) = 4954
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