Final answer:
The union of two sets includes all unique elements that appear in either set, while the intersection includes only those elements present in both sets. For example, if set A is {1, 2, 3, 4} and set B is {3, 4, 5, 6}, then the union of A and B is {1, 2, 3, 4, 5, 6} and the intersection is {3, 4}.
Step-by-step explanation:
The difference between a union and an intersection in mathematics refers to operations between sets. The union of two sets includes all the elements that belong at least to one of the sets, whereas the intersection includes only those elements that are common to both sets.
For example, let's consider two sets, A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. The union of A and B, denoted by A ∪ B, will be {1, 2, 3, 4, 5, 6}, which contains all the elements from both A and B without duplicating any. In contrast, the intersection of A and B, denoted by A ∩ B, will be {3, 4}, which includes only the elements that are present in both A and B.