Final answer:
Union and Intersections are set theory operations in mathematics. The union includes all elements in either set or both, while the intersection contains only elements common to both sets.
Step-by-step explanation:
The concepts of Union and Intersections are operations within set theory, a branch of mathematical logic that deals with collections of objects.
The union of two sets, represented as A OR B, includes all elements that are in set A, set B, or in both. In the given example, the union of sets A and B would include the numbers {2, 4, 6, 8, 10, 12, 14, 15, 16, 17, 18, 19}. On the other hand, the intersection of two sets, represented as A AND B, consists of elements that are common to both sets. Accordingly, the intersection of sets A and B would be {14,16,18}.
These operations play a crucial role in various areas of mathematics, including probability, statistics, and geometry.