Difficulty: Medium
Correct Answer: Only I and IV follow
Explanation:
Introduction / Context:
Two nested universals are provided. We assess which of the four conclusions are compelled by these inclusions.
Given Data / Assumptions:
Concept / Approach:
Transitivity of subset gives Dogs ⊆ Pictures (I). The converses (II, III) are not supported. From Books ⊆ Pictures and non-emptiness, there exists at least one entity that is both picture and book, validating IV.
Step-by-Step Solution:
Verification / Alternative check:
Take one concrete book; it is also a picture, satisfying IV. Dogs being a subset of books ensures I.
Why Other Options Are Wrong:
Options that include II or III assume unsupported converses or overgeneralization.
Common Pitfalls:
Confusing subset direction and presuming equivalences where only one-way inclusion exists.
Final Answer:
Only I and IV follow.
Discussion & Comments