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True or False?
For any three real numbers (x,y,z),(x, y, z),(x,y,z), ∣x∣+∣y∣+∣z∣≤∣x−y+z∣+∣x+y−z∣+∣−x+y+z∣. |x|+|y|+|z|\leq |x-y+z|+|x+y-z|+|-x+y+z|.∣x∣+∣y∣+∣z∣≤∣x−y+z∣+∣x+y−z∣+∣−x+y+z∣.
Notation: ∣⋅∣ | \cdot | ∣⋅∣ denotes the absolute value function.
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