If a number is divisible by ,then the number is odd.
Hypothesis: If a number is divisible by .
The hypothesis is true.
\Conclusion: then the number is odd.
\The conclusion is not true.
\The statement is false.
\Counterexample:
\Consider, and
.
The number is even then divisible by , then the number is even.
The number is odd then divisible by , then the number is odd.
The statement is false.
\The number is even then divisible by , then the number is even.
The number is odd then divisible by , then the number is odd.