For y=|||x−5|+5|−5|+5, what is the smalelst possible value of y?
|x-5| >=0 for all values of x, so
| |x-5| + 5| >= 5 for all values of x, so
| | |x-5| + 5| - 5| >= 0 for all values of x. so
| | |x-5| + 5| - 5| + 5 >= 5 for all values of x, so minimum value = 5, when x = 5.