Select the Venn diagram that best illustrates the relationship between the following classes.

Potatoes, Vegetables, Grapes

The correct Venn diagram representing the relationship between Potatoes, Vegetables, and Grapes is:


Step-by-Step Explanation:

1. Relationship between Potatoes and Vegetables:
Potatoes are a specific type of vegetable. Therefore, the class "Potatoes" is a subset of the class "Vegetables". In a Venn diagram, a subset relationship is represented by a smaller circle (Potatoes) completely enclosed within a larger circle (Vegetables).

2. Relationship between Grapes and Vegetables / Potatoes:
Grapes are fruits, which are entirely separate from vegetables. Since grapes do not belong to the category of vegetables or potatoes, the class "Grapes" is disjoint from both "Vegetables" and "Potatoes". In a Venn diagram, disjoint sets are represented by separate, non-overlapping circles.

3. Conclusion:
Combining these relationships, the complete Venn diagram must show one smaller circle (Potatoes) inside a larger circle (Vegetables), along with a completely separate circle outside representing Grapes. This corresponds to the Venn diagram shown above.