Verify the correctness of the given statement. "For all integers j and k, if j and k are odd, then jk is odd."

The statement is correct . \n \n If j and k are odd , then j k is odd because the product of two odd numbers is always odd . \n \n To see why , consider the definition of an odd number : an odd number is a number that is not divis ible by 2 . \n \n Now , consider the product of two odd numbers , j and k . Since j and k are odd , they are both not divis ible by 2 . Therefore , the product j k is also not divis ible by 2 . \n \n Since the product of two odd numbers is not divis ible by 2 , it must be odd . Therefore , the statement is correct . </s>