![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Statement: The product of odd numbers is always even.
\Find true or not.
\Conculsion: The conjecture is not true.
\Counter example:
\ Consider the odd numbers ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d9285d5a293c4e12028128b0fb74ba46.png\")
and ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0d25261cbf81e1c8bf5afdeff1f7b3e9.png\")
.
Product of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d9285d5a293c4e12028128b0fb74ba46.png\")
and ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0d25261cbf81e1c8bf5afdeff1f7b3e9.png\")
is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3e677ff49796cf8ae362292f96577cb7.png\")
, it is an odd number.
Thus, the conjecture is not true.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The conjecture is not true.