![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
If the product of two numbers is an even number, then both factors must be even numbers.
\Hypothesis: If the product of two numbers is an even number.
\The hypothesis is true.
\Conclusion: then both factors must be even numbers.
\The conclusion is not true.
\The statement is false.
\Counterexample:
\Product of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d1622611fc88fa0fbe88f093bcb90f93.png\")
and ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d9285d5a293c4e12028128b0fb74ba46.png\")
is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ab26fd4c5c29d2067a1dab644bcb3065.png\")
.
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The statement is false.
\Product of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d1622611fc88fa0fbe88f093bcb90f93.png\")
and ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d9285d5a293c4e12028128b0fb74ba46.png\")
is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ab26fd4c5c29d2067a1dab644bcb3065.png\")
.