Why is the OR function represented by a shaded Venn Diagram where both circles and their intersection are shaded?

The representation of the OR function in a shaded Venn Diagram, where both circles and their intersection are shaded, effectively illustrates the concept of inclusion. By shading both circles along with their intersection, it visually communicates that the OR function encompasses all values represented in either of the circles. This means that any element present in either circle—whether it is unique to one circle or found in both—is included in the resultant dataset.

This comprehensive coverage is essential in logical operations, particularly in GIS and data analysis, where it allows for the retrieval of a complete set of data that meets at least one of the criteria corresponding to the circles. The OR function does not discriminate between unique and shared values, which is why all aspects of both sets are represented in the diagram. It highlights the inclusive nature of the OR operation, indicating that if a feature exists in either dataset, it qualifies for consideration in the result.