# Nested Absolute Value Problem

Algebra Level 3

Find the set of solutions to $\Bigg\lvert \bigg\lvert \Big\lvert \lvert x-1 \rvert - 1 \Big\rvert - 1 \bigg\rvert - 1\Bigg\rvert = 0.$

Notation: $$| \cdot |$$ denotes the absolute value function.

×