What are the differences between union, intersection, and difference in set operations?

What are the differences between union, intersection, and difference in set operations?

In set operations, the union combines all unique elements from both sets, intersection finds common elements, and difference shows elements in one set that aren't in the other.

Can you give me an example of each operation?

Sure! For sets A = {1, 2, 3} and B = {2, 3, 4}:

• Union (A ∪ B) = {1, 2, 3, 4}
• Intersection (A ∩ B) = {2, 3}
• Difference (A - B) = {1}

What if one set is empty?

If one set is empty, the union will be the other set, the intersection will be empty, and the difference will be the non-empty set.

How do these operations apply in programming?

In programming, set operations are used in data manipulation, filtering, and ensuring uniqueness in collections.