Final answer:
The regions in the Venn diagram that represent the set DnE (intersection of D and E) are the areas where the shapes representing set D and set E overlap. Without the actual diagram, a specific answer is not possible, but the intersection represents elements common to both sets.
Step-by-step explanation:
The question asks which regions in the Venn diagram represent the intersection of sets D and E (notated as D ∩ E). A Venn diagram is a visual tool used in set theory, a branch of mathematics, to demonstrate the relationships between different sets. In a typical Venn diagram, the sample space is represented by a rectangle, while the sets within that space are represented by circles or ovals.
If we have two sets, D and E, represented by two shapes within the rectangle, their intersection D ∩ E is the area where both sets overlap. It is important to look at the diagram provided to identify the overlapped region accurately. Unfortunately, without an actual diagram to reference in this instance, we cannot provide a specific answer depicting the regions. However, it is key to understand that D ∩ E would be the combined area shared by both sets, indicating the elements that are common to both D and E.
To describe the area in the rectangle but outside both the circle and the oval, we would say: 'The area in the rectangle that is not included within the circle or the oval represents the elements that are part of the sample space but not part of set D or E.'