What are unions and intersections in set theory?

What are unions and intersections in set theory?

In set theory, a union combines all elements from two or more sets, while an intersection includes only the elements common to those sets.

Can you give me an example of a union?

Sure! If Set A = {1, 2, 3} and Set B = {3, 4, 5}, the union A ∪ B = {1, 2, 3, 4, 5}.

And what about an intersection?

Using the same sets, the intersection A ∩ B = {3}, since 3 is the only element common to both sets.

How do these concepts apply in real life?

In real life, unions and intersections can represent shared resources or common interests, like combining lists of attendees from different events.