Final answer:
In mathematics, the union of sets refers to combining elements from both sets (A OR B), while the intersection of sets refers to elements common to both sets (A AND B). A Venn diagram is a tool that visually represents these relationships.
Step-by-step explanation:
The terminology referring to the union and intersection of sets is part of set theory in mathematics. The union of sets refers to combining all elements from both sets without repeating any elements. For example, if we have Set A = {2, 4, 6, 14, 16, 18} and Set B = {8, 10, 12, 15, 17, 19}, then the union of Sets A and B, denoted as A ∪ B or A OR B, includes all elements that are in Set A, Set B, or in both. Thus, A OR B = {2, 4, 6, 8, 10, 12, 14, 15, 16, 17, 18, 19}. On the other hand, the intersection of sets contains only those elements that are common to both sets.
Using our previous example, the intersection of Sets A and B, denoted as A ∩ B or A AND B, is {14, 16, 18} since these are the only numbers that appear in both sets.
To visualize these concepts, a Venn diagram is often used. It provides a graphical representation of the sets and their relations - showing the union as the total area covered by the circles and the intersection as the area where the circles overlap.