![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Statement: The sum of two odd numbers is always odd.
\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=00ee465bf8b8ee687af61bd5a82ffb10.png\")
and ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3e677ff49796cf8ae362292f96577cb7.png\")
.
Sum of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=00ee465bf8b8ee687af61bd5a82ffb10.png\")
and ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3e677ff49796cf8ae362292f96577cb7.png\")
is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=1de153d4bf951388776d4459784f74de.png\")
, it is an even number.
Thus, the conjecture is not true.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The conjecture is not true.