Logical reasoning — Determine if the conclusion follows from the premises Premise 1: A toothpick is useful. Premise 2: Useful things are valuable. Claim (to evaluate): A toothpick is valuable.

Introduction / Context:This is a classic categorical syllogism. If an individual item belongs to a class, and that entire class has a property, then the individual inherits that property. The question is whether the conclusion necessarily follows from the two given premises without extra assumptions.

Given Data / Assumptions:

• A toothpick ∈ Useful-things.
• All Useful-things ⟶ Valuable-things.
• We assume ordinary logical reading: “are valuable” applies to every member of the set of useful things.

Concept / Approach:

• Syllogistic form: If A is a B, and all B are C, then A is a C.
• No exceptions or qualifiers like “some,” “often,” or “usually” are present; the second premise is universal in scope.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

Common Pitfalls:

Final Answer: