Question

What is a counterexample to the conditional statement?

Answer 1

Answer:

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:

$\frac{3}{1} = 3\\\frac{3}{3} = 1$

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

For 5:

$\frac{5}{1} = 5\\\frac{5}{5} = 1$

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

For 7:

$\frac{7}{1} = 7\\\frac{7}{7} = 1$

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

For 9:

$\frac{9}{1} = 9\\\frac{9}{3} = 3\\\frac{9}{9} = 1$

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