### Union of Sets: Understanding through Venn Diagrams#### Example Problem**Problem Statement:**Let \( U \) be the set of integers from 1 to 15:\[ U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15\} \]Set \( A \) and set \( B \) are subsets of \( U \). Set \( A \) contains multiples of 2, such as 2, 4, 6, ..., while Set \( B \) contains multiples of 3, such as 3, 6, 9, ...#### Venn Diagram and Union of SetsUse the Venn diagram below to help answer the question. The diagram illustrates the relationship between sets \( A \) and \( B \) within the universal set \( U \).**Venn Diagram Explanation:**- The Venn diagram contains two intersecting circles within a rectangle. - The rectangle represents the universal set \( U \).- Circle \( A \) represents multiples of 2.- Circle \( B \) represents multiples of 3.- The intersection of circles \( A \) and \( B \) represents the elements that are multiples of both 2 and 3.#### Question:Which set is \( A \cup B \) (the union of sets \( A \) and \( B \))?- \( \{1, 3, 5, 7, 9, 11, 13, 15\} \)- \( \{1, 2, 4, 5, 7, 8, 10, 11, 13, 14\} \)- \( \{6, 12\} \)- \( \{2, 3, 4, 6, 8, 9, 10, 12, 14, 15\} \)The correct answer is the option that lists all unique elements that are in either set \( A \), set \( B \), or both.

Name: ### Union of Sets: Understanding through Venn Diagrams#### Example Pr
Uploaded: 2024-03-05T11:53:49.000Z
Channel: Bartleby
Description: ### Union of Sets: Understanding through Venn Diagrams#### Example Problem**Problem Statement:**Let \( U \) be the set of integers from 1 to 15:\[ U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15\} \]Set \( A \) and set \( B \) are subsets of