While researching conjectures and theorems, a student has taken the following notes:
- In math, a conjecture is a statement that appears true based on examples.
- A theorem is a statement that has been proven true by logical reasoning.
- Students noticed that the sum of two odd numbers was even in every example they tested.
- The teacher asked them to write a proof before calling the statement a theorem.
- Examples can suggest a pattern but do not prove it for all cases.
The student wants to distinguish a conjecture from a theorem. Which choice most effectively uses relevant information from the notes to accomplish this goal?