Part 1: The sum of three consecutive integers is -18. What are the three integers? Show your work.
Let's represent the three consecutive integers as x, x+1, and x+2.
According to the problem, their sum is -18.
So, we can set up the following equation:
x + (x+1) + (x+2) = -18
Simplifying the equation:
3x + 3 = -18
Subtracting 3 from both sides:
3x = -21
Dividing both sides by 3:
x = -7
Therefore, the three consecutive integers are -7, -6, and -5.