Suppose that \(|a - b| + |b - c| + |c - a| = 20\) What is the maximum possible value of \(|a-b|\)?
l a - b l will be maximized when a is large as possible and b is as small as possible
So....suppose that a > c > b
Then we have that
(a - b) +( c - b) + ( a - c) = 20
2a - 2b = 20 divide through by 2
a - b = 10
So
l a - b l = 10
