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.

The number 9 is greater than 1 and less than 10, while its factors are 1, 3 and 9, therefore it is a counter example to the statement.

Step-by-step explanation:

There are four odd numbers between 1 and 10, they are: 3, 5, 7 and 9. Let's check the factors for each of them.

For 3:

Therefore 3 is not a counter example to the statement, because it behaves as stated.

For 5:

Therefore 5 is not a counter example to the statement, because it behaves as stated.

For 7:

Therefore 7 is not a counter example to the statement, because it behaves as stated.

For 9:

Therefore 9 is a counter example to the statement, since it can be divided by 1, 3 and 9.

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