Venn Diagram for Fruits, Citrus Fruits, and Oranges
This question requires identifying the correct Venn diagram representing the relationship between three categories: Fruits, Citrus Fruits, and Oranges.
Understanding Category Relationships
We need to analyze how these sets relate to each other:
- Oranges and Citrus Fruits: Every orange is a type of citrus fruit. Therefore, the set of 'Oranges' is entirely contained within the set of 'Citrus Fruits'. We can represent this as: Oranges $\subset$ Citrus Fruits.
- Citrus Fruits and Fruits: Every citrus fruit is a type of fruit. Thus, the set of 'Citrus Fruits' is entirely contained within the set of 'Fruits'. We can represent this as: Citrus Fruits $\subset$ Fruits.
- Combined Relationship: Combining these, we get a nested relationship: Oranges $\subset$ Citrus Fruits $\subset$ Fruits.
Selecting the Correct Venn Diagram
The Venn diagram that best illustrates this nested relationship consists of three concentric circles:
- The innermost circle represents 'Oranges'.
- The middle circle, enclosing the 'Oranges' circle, represents 'Citrus Fruits'.
- The outermost circle, enclosing the 'Citrus Fruits' circle, represents 'Fruits'.
This structure visually confirms that all oranges are citrus fruits, and all citrus fruits are fruits.
The correct Venn diagram is shown in Option 4 (D), matching this concentric structure.
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