Question

Given that B = {3,6,9,15,...,30}, find the value of n(B)

Answer 1

The value of n(B) represents the number of elements in set B, which consists of multiples of 3 up to 30. We can determine that n(B) = 10 since there are 10 multiples of 3 from 3 to 30 inclusive.

Step-by-step explanation:

The question asks for the value of n(B), which is the number of elements in set B. To find n(B), we can list the elements of B which are multiples of 3 up to 30. Set B is {3, 6, 9, 12, 15, 18, 21, 24, 27, 30}. It is clear that these are consecutive multiples of 3. We count the number of elements to find n(B).

1. 3 is 3 times 1.
2. 6 is 3 times 2.
3. 30 is 3 times 10.

Therefore, there are 10 elements in set B, and n(B) = 10.