SOLUTION: show that the product of an odd integer and an even integer is always even.

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Question 26810: show that the product of an odd integer and an even integer is always even.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
ANY INTEGER IS DENOTED BY N
IT WILL BE EVEN IF WE MULTIPLY BY 2...THAT IS 2N IS EVEN INTEGER.
IT WILL BE ODD IF WE ADD 1 TO IT..THAT IS
2N+1 IS ODD INTEGER.
PRODUCT OF 1 ODD AND 1 EVEN INTEGER IS
(2N)(2M+1)=4MN+2N=2(2MN+N)=2P WHERE P IS AN INTEGER.
HENCE BY THE ABOVE LOGIC THE PRODUCT IS AN EVEN INTEGER.