1. An erroneous proof of the statement "The difference between two odd numbers is even." is: Proof. Let x and y be two odd integers. Since x is odd, jZ,x=2j+1. Since y is odd, kZ,y=2k+1. Since both x and y are odd, xy must be even. Therefore the difference between two odd integers is even. Explain why the proof is wrong, and give a correct proof