Answer:
The value of the greatest integer is -38
Step-by-step explanation:
Let's make
x = the first even integer
x + 2, x + 4, x + 6 are the following even integers.
Recall even numbers are counted every other number.
The sum of all the numbers is -164:
x + x + 2 + x + 4 + x + 6 = -164
Simplifying:
4x + 12 = -164
Subtracting 12:
4x = -164 - 12 = -176
Dividing by 4:
x = -176 / 4 = -44
Thus, the greatest of them all is x + 6 = -44 + 6 = -38
The value of the greatest integer is -38
