In this video I go through a very interesting topic, the triangle inequality. Basically the triangle inequality states: the absolute value of (a+b) is less than or equal to the absolute value of a plus the absolute value of b. In the video, I illustrate this rule and provide a proof as well as an example on it. If you ever come across the triangle inequality, make sure you watch this video!

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Triangle Inequality: Proof and Illustration

Triangle Inequality

If a and b are any real numbers, then:

|a + b| ≤ |a| + |b|

Proof

More Concrete Proof

Example

Solution