Select the Venn diagram that best illustrates the relationship between the following classes.
India, Tamil Nadu, Chennai
Correct Answer :
Solution :
To determine the best Venn diagram representing the relationship between India, Tamil Nadu, and Chennai, we can analyze the geographical hierarchy of the three classes:
1. Chennai is a city that is located entirely within the boundaries of the state of Tamil Nadu.
2. Tamil Nadu is a state that is located entirely within the country of India.
3. Therefore, Chennai is also entirely contained within India.
This hierarchical relationship can be mathematically represented as a nested subset relationship:
Chennai ⊂ Tamil Nadu ⊂ India
In a Venn diagram, complete containment is illustrated by concentric circles (circles nested inside one another):
- The innermost circle represents Chennai.
- The middle circle represents Tamil Nadu, which completely encloses Chennai.
- The outermost circle represents India, which completely encloses both Tamil Nadu and Chennai.
Based on this analysis, the diagram showing three concentric circles is the correct representation:
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