59.6k views
0 votes
Let A = {5, 4, 3, 2, 1} and B = {8, 5, 9, 4, 10, 11, 2, 12}. What is |A ∪ B|?

1 Answer

2 votes

Final answer:

The union of sets A and B is {1, 2, 3, 4, 5, 8, 9, 10, 11, 12} with a cardinality of 10.

Step-by-step explanation:

The union of sets A and B, denoted as A ∪ B, contains all the elements that are in either set A or set B (or both). In this case, A = {5, 4, 3, 2, 1} and B = {8, 5, 9, 4, 10, 11, 2, 12}. To find the union, we combine all the unique elements from both sets:

A ∪ B = {1, 2, 3, 4, 5, 8, 9, 10, 11, 12}

The cardinality of a set represents the number of elements it contains. So, |A ∪ B| represents the cardinality of the union of sets A and B, which is the number of elements in the union:

|A ∪ B| = 10

User Adam Cox
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories