Question

If A = {3, 7, H, 11, 15} and B = {−1, 2, 3, 5, 7, 11, 13, 17}, what is n(A∪B)?

a) 8
b) 9
c) 10
d) 11

Answer 1

The union of sets A and B has 10 unique elements, so n(A∪B), which represents the number of elements in the union, is 10.

Step-by-step explanation:

To calculate n(A∪B), we need to determine the number of elements in the union of sets A and B. The union of two sets consists of all elements that are in either set, without repeating any elements.

Set A = {3, 7, H, 11, 15}
Set B = {−1, 2, 3, 5, 7, 11, 13, 17}

Putting these together without repeating any elements, we get the union of A and B:
A∪B = {−1, 2, 3, 5, 7, H, 11, 13, 15, 17}

Now, counting the elements in the union set, we find that there are 10 elements. Therefore, the answer to "What is n(A∪B)?" is c) 10.