Question

determining a counterexample
what is a counterexample to the conditional statement?
if an odd number is greater than 1 and less than 10, then it has no other factors than 1 and itself.

Explanation:

Step1: List target odd numbers

Odd numbers: $3, 5, 7, 9$ (between 1 and 10)

Step2: Check prime status of each

• $3$: factors are $1, 3$ (prime)
• $5$: factors are $1, 5$ (prime)
• $7$: factors are $1, 7$ (prime)
• $9$: factors are $1, 3, 9$ (not prime)

Step3: Identify counterexample

9 fits the "if" condition but fails the "then" condition.

Answer:

9