Given sets A={1,2,3,4} and B={2,4,6,8}, find:

a) The union of sets A and B.

b) The intersection of sets A and B.

Given the sets \( A = \{1, 2, 3, 4\} \) and \( B = \{2, 4, 6, 8\} \):

### a) The union of sets \( A \) and \( B \) 
The union of two sets contains all the elements from both sets, without repeating any elements. The union is denoted by \( A \cup B \).

\[
A \cup B = \{1, 2, 3, 4, 6, 8\}
\]

### b) The intersection of sets \( A \) and \( B \) 
The intersection of two sets contains only the elements that are common to both sets. The intersection is denoted by \( A \cap B \).

\[
A \cap B = \{2, 4\}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the difference between the union and the intersection of two sets?
2. How would the union and intersection change if \( A \) and \( B \) were disjoint sets?
3. What is the complement of set \( A \) relative to \( B \)?
4. Can you find the difference \( A - B \) and \( B - A \)?
5. How do Venn diagrams visually represent unions and intersections of sets?

**Tip:** The union operation combines all elements, while the intersection isolates only the common elements between two sets.

Given sets A={1,2,3,4} and B={2,4,6,8}, find: a) The union of sets A and B. b) The intersection of sets A and B.

Understand how to find the union and intersection of sets A={1,2,3,4} and B={2,4,6,8}. This problem focuses on key concepts in set theory, including how to combine sets and find common elements. Suitable for students in Grades 6-8.

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