The sum of all the integers k such that −26 < k < 24 is Choose the correct option.
A) 0  B) −2  C) −25  D) −49  E) −51
Since k defines a range between −26 &lt; k &lt; 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 −49.
<result>D</result>
The sum of all the integers k such that −26 < k < 24 is