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Is there a difference between (D) and (E) in the ques below? Does the order of the sign matter?

Q. If the sum of two integers is 6, then it must be true that

(A) both integers are even

(B) both integers are odd

(C) both integers are positive

(D) if one integer is negative, the other is positive

(E) if one integer is positive, the other is negative

sum of two int = 6

(1,5), (3,3) Negates A

(2,4) Negates B

(-1,7), (-2,8), (-3,9),... Negates C

And options D E look similar to me.

And I did not get any answer to my previous ques i posted in a separate thread. Please help with that too. Below is the link.

http://www.gmatclub.com/phpbb/viewtopic ... highlight=
Many Thanks