Question 996856
the absolute value equation is:


|w-500| <= 30


that says that the absolute value of (w - 500) <= 30


you solve that equation in two ways.


when (w - 500) is positive, the equation becomes w - 500 <= 30.


add 500 to both sides of this equation to get w <= 30 + 500.


simplify to get w <= 530.


when (w - 500) is negative, the equation becomes w - 500 >= -30.


add 500 to both sides of this equation to get w >= -30 + 500.


simplify to get w >= 470.


you have w <= 530 and w >= 470.


this can be written as 470 <= w <= 530.


the maximum deviation is 30 either way.