Question

By giving a counter-example, show that the statement is false:

p: If n is an odd positive integer, then n is prime.

Answer 1

To show that the statement is false, we can provide a counterexample. Let n = 9. The statement says that if n is an odd positive integer, then n is prime. However, 9 is an odd positive integer but it is not prime because it is divisible by 3. Therefore, the statement is false.

Step-by-step explanation:

To show that the statement is false, we need to find a counterexample. Counterexample: Let n = 9. The statement says that if n is an odd positive integer, then n is prime. However, 9 is an odd positive integer but it is not prime because it is divisible by 3. Therefore, the statement is false.