Final answer:
The two consecutive integers that lie between the negative square root of 115 are -11 and -10.
Step-by-step explanation:
The question asks for two consecutive integers that lie between the negative square root of 115. To find these integers, we need to determine the closest integers that are both greater and smaller than the negative square root of 115. The negative square root of 115 is approximately -10.74, so the two consecutive integers that lie between it are -11 and -10. Therefore, the correct answer is option D) -10 and -11.