All pencils are writing tools. All writing tools have ink. Therefore, all…

Concept: A syllogism follows the transitive chain rule — if all A are B, and all B are C, then all A are C. The conclusion may only include what the premises actually chain together, nothing more.

1. Let A = pencils, B = writing tools, C = things that have ink.

2. Premise 1 gives A → B: all pencils are writing tools.

3. Premise 2 gives B → C: all writing tools have ink.

4. Chaining A → B → C gives A → C: all pencils have ink.

Cross-check: neither premise ties writing tools or pencils to erasers, wood, or lead — those are everyday associations with a physical pencil, not conclusions this argument's premises support.