The sum of all the integers k such that −26 < k < 24 is	Choose the correct choice from the following choices:  A) 0  B) − 2  C) − 25  D) − 49  E) − 51

Rationale: "since k defines a range between − 26 < k < 24 we can set 0 as the reference point for the negative values and positive values . the negative values will range from - 25 to 0 whereas the positive values will range from 0 - 23 . we can conclude that for all but - 25 and - 24 the number pairs will add to 0 . so we have left - 25 - 24 = - 49 . answer d ."
Answer: D