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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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Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

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including olympiad champions, researchers, and professionals.

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by Áron Bán-Szabó

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