Union and Intersection of Sets

What is the difference between the union and intersection of sets?

Which symbol represents the union of sets and which symbol represents the intersection of sets?

The symbol ∪ represents the union of sets, which means combining all the elements from different sets into a single set. The symbol ∩ represents the intersection of sets, which means finding the common elements between different sets.

When working with sets, it is important to understand the concepts of union and intersection. The union of sets involves combining all the elements from different sets into a single set, while the intersection of sets involves finding the common elements shared among the sets.

The symbol ∪ is used to represent the union of sets. For example, if we have sets A = {1, 2, 3} and B = {3, 4, 5}, then the union of A and B would be {1, 2, 3, 4, 5}. On the other hand, the symbol ∩ is used to represent the intersection of sets. Continuing with the example above, the intersection of sets A and B would be {3}, as 3 is the only element that appears in both sets. Understanding the differences between union and intersection is essential in set theory and various branches of mathematics that deal with collections of objects.