Identify the relationship configuration among the given sets: 'Mammals', 'Dogs', and 'Fish'. Which of the following statements correctly describes their Venn diagram representation?
- AA
- BB
- CC
- DD
Solution & Step-by-step Explanation
Let's analyze the biological classification relationship between the three categories:
1. Dogs and Mammals: All dogs are mammals. Therefore, the set of 'Dogs' is a proper subset of 'Mammals'. In a Venn diagram, the circle representing 'Dogs' must be contained entirely within the larger circle representing 'Mammals'.
2. Fish and Mammals/Dogs: Fish belong to a completely distinct class of aquatic animals and are not mammals. Hence, the set of 'Fish' is entirely disjoint from both 'Mammals' and 'Dogs'. Its circle must be placed completely outside the other two circles.
This specific configuration matches the description given in Option B.
1. Dogs and Mammals: All dogs are mammals. Therefore, the set of 'Dogs' is a proper subset of 'Mammals'. In a Venn diagram, the circle representing 'Dogs' must be contained entirely within the larger circle representing 'Mammals'.
2. Fish and Mammals/Dogs: Fish belong to a completely distinct class of aquatic animals and are not mammals. Hence, the set of 'Fish' is entirely disjoint from both 'Mammals' and 'Dogs'. Its circle must be placed completely outside the other two circles.
This specific configuration matches the description given in Option B.