FOUND N(A)
A={0,1,2,3,4,5,6,7}
A={A,C,D,E}
A={4,5,...,12,13}
A={2,4,6,...,1000}
A={0,1,2,3,,...,3000}
A={}
To find the number of elements, denoted as N(A), in each set A, follow these steps:
1. A = {0, 1, 2, 3, 4, 5, 6, 7}
To find N(A) for this set, you count the number of elements in it. In this case, there are 8 elements, so N(A) = 8.
2. A = {A, C, D, E}
In this set, there are 4 elements: A, C, D, and E. Therefore, N(A) = 4.
3. A = {4, 5, ..., 12, 13}
To find the number of elements in this set, count the numbers between 4 and 13 (inclusive). There are 10 numbers in total, so N(A) = 10.
4. A = {2, 4, 6, ..., 1000}
To determine the number of elements, observe the pattern and find the total number of elements in the set. In this case, the pattern is that A consists of even numbers. Since it starts at 2 and ends at 1000, you can see that the set contains every even number between 2 and 1000. To count them, you could divide the final number 1000 by 2, giving you 500 elements. So, N(A) = 500.
5. A = {0, 1, 2, 3, ..., 3000}
This set includes a consecutive sequence of numbers, starting from 0 and ending at 3000. To find N(A), count the number of elements between 0 and 3000, inclusive. In this case, there are 3001 elements in total, so N(A) = 3001.
6. A = {}
This set is an empty set, meaning it does not contain any elements. Therefore, N(A) = 0.