Absolutely Outrageous

Algebra Level 2

The set of solutions of the equation \[ \bigg\lvert \Big\lvert \lvert x-1 \rvert + 1 \Big\rvert - 1 \bigg\rvert = \bigg\lvert \Big\lvert \lvert x+1 \rvert - 1 \Big\rvert + 1 \bigg\rvert\] is a disjoint union of one or more segments. Find the sum of their lengths.

×

Problem Loading...

Note Loading...

Set Loading...