Select the Venn diagram that best illustrates the relationship between the following classes.
Planets, Mars, Venus
Correct Answer :
Solution :
To determine the correct Venn diagram representing the relationship between Planets, Mars, and Venus, we can analyze the relationships between these three classes step-by-step:
1. Relationship between Mars and Planets:
Mars is a specific planet in our solar system. Therefore, all members of the class "Mars" belong to the class "Planets". This means the circle representing Mars must be entirely contained within the circle representing Planets.
2. Relationship between Venus and Planets:
Similarly, Venus is also a planet. Thus, the class "Venus" is entirely contained within the class "Planets". The circle representing Venus must also be completely inside the circle representing Planets.
3. Relationship between Mars and Venus:
Mars and Venus are two completely distinct planets. There is no celestial body that can be both Mars and Venus. Therefore, the classes "Mars" and "Venus" are disjoint (have no intersection), meaning their representative circles must not overlap or touch each other.
Comparing these relationships with the provided images:
- Image 0 (Option 1): Shows three completely separate, disjoint circles. This is incorrect because Mars and Venus are subsets of Planets.
- Image 1 (Option 2): Shows one large circle containing two smaller, completely separate (non-overlapping) circles inside it. This perfectly illustrates the relationship where the outer circle represents Planets, and the two inner independent circles represent Mars and Venus.
- Image 2 (Option 3): Shows a large circle containing two intersecting circles inside it. This is incorrect because Mars and Venus do not overlap.
- Image 3 (Option 4): Shows three intersecting circles in a line, which is incorrect.
Thus, the correct Venn diagram is represented by Option 2 (Image 1).
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