Proof: Reverse Triangle Inequality Theorem | Real Analysis

The reverse triangle inequality tells us how the absolute value of the difference of two real numbers relates to the absolute value of the difference of their absolute values. In particular, |x-y| is greater than or equal to | |x| - |y| |. We'll prove this result in today's lesson. We'll need the normal triangle inequality theorem and another useful result about absolute value inequalities to prove today's result.

Real Analysis Playlist:    • Real Analysis  

Proof of the triangle inequality theorem:    • Proof: Triangle Inequality Theorem | ...  
Proof of the absolute value inequality result we use:    • Proof: A Useful Absolute Value Inequa...  

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