https://file.aiquickdraw.com/mathbot/file/1727750954280zlhg4vxl.jpg

To find the union \( A \cup B \) of two sets \( A \) and \( B \), you combine all the elements from both sets, ensuring that there are no duplicates.

From the image, we have:
- \( A = \{5, 6, 7, 8, 9, 10, 11, 12, 13, 14\} \)
- \( B = \{3, 5, 7, 9, 11, 13\} \)

The union \( A \cup B \) contains all elements that are in either set \( A \) or set \( B \), without repetition. Therefore:

\[
A \cup B = \{3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14\}
\]

Would you like any more details or further explanation?

Here are 5 related questions to extend this topic:
1. What is the intersection \( A \cap B \) of the sets \( A \) and \( B \)?
2. How do you find the difference \( A - B \) between two sets?
3. What is the complement of set \( A \) if the universal set is all integers from 1 to 15?
4. How does the symmetric difference \( A \oplus B \) work, and what would it be for these sets?
5. Can you have the union of more than two sets, and how would that work?

**Tip:** When finding a union of sets, always remove duplicate elements to avoid repetition!

Use the given sets to find A ∪ B, where A = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14} and B = {3, 5, 7, 9, 11, 13}.

Learn how to find the union of two sets A and B, where A = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14} and B = {3, 5, 7, 9, 11, 13}. Explore key concepts in set theory and discover how to combine two sets while removing duplicates. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation