Syllogism — Men, employed, and professionals (complements and chaining): Statements: (1) All men are employed. (2) No employees are professionals. Conclusions: I. No men are unemployed. II. No men are professionals.

Introduction / Context:Universal inclusion plus universal exclusion often yields two clear consequences: a complement statement and a propagated exclusion along the subset chain.

Given Data / Assumptions:

• Man ⊆ Employed.
• Employed ∩ Professional = ∅.

Concept / Approach:If every man is employed, then no man is unemployed (I). And since no employee is a professional, no man (being an employee) can be a professional (II).

Step-by-Step:1) From Man ⊆ Employed, conclude Man ∩ Unemployed = ∅ → I.2) From Man ⊆ Employed and Employed ∩ Professional = ∅, infer Man ∩ Professional = ∅ → II.

Common Pitfalls:Forgetting that exclusions applying to a superset automatically apply to all its subsets.

Final Answer:Both I and II follow.