Conditional statement: If a number is a negative integer, then its absolute value is negative.
\Hypothesis: a number is a negative integer.
\Conclusion: its absolute value is negative.
\The statement is false. The number is a counterexample, because
is a negative integer but its absolute value is not a negative. Since
(positive integer).
Hypothesis: a number is a negative integer,
\Conclusion: its absolute value is negative and the statement is false.