Counterexamples
When you learned about inductive reasoning in the last section, you learned about counterexamples. That is, an example that proves a statement is false.
Recall that 2 is a counterexample for the statement "All prime numbers are odd" because it is an even prime number, thus proving the statement false.
A theorem is a hypothesis. Until it is proven, it is assumed true unless a counterexample can be given.
Example:
Statement: All non-prime odd numbers are divisible by 3 or 5.
Can you think of a counterexample?
