Absolute!
Algebra
Level
1
True or False?
For any three real numbers \((x, y, z),\) \[ |x|+|y|+|z|\leq |x-y+z|+|x+y-z|+|-x+y+z|.\]
\(\)
Notation: \( | \cdot | \) denotes the absolute value function.
by
Áron Bán-Szabó