Difficulty: Medium
Correct Answer: None of the conclusions follow
Explanation:
Introduction / Context:
Two universal inclusions are given. We must avoid both reversing inclusions and drawing unwarranted negatives.
Given Data / Assumptions:
Concept / Approach:
From the chain, Goat ⊆ Lion. However, none of the listed conclusions matches this lawful result: (I) reverses inclusion; (II) wrongly claims Lion ⊇ Tiger in the reverse direction; (III) and (IV) assert disjointness that is contradicted or not implied.
Step-by-Step Analysis:
1) I “All tigers are goats” is false (wrong direction).2) II “All lions are tigers” is false (reverse inclusion).3) III “No goat is a lion” contradicts Goat ⊆ Lion.4) IV “No lion is a goat” is not implied; goats may be a proper subset of lions.
Verification / Alternative check:
Model: Goats (10) ⊆ Tigers (100) ⊆ Lions (1000). None of I–IV is forced true.
Final Answer:
None of the conclusions follow.
Discussion & Comments