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.