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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.

Yes, it is true No, it is false

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by Áron Bán-Szabó

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