Triangle Inequality

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.7: Graphing Linear Inequalities
Problem 33WE
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v = (2,1,4), w = (1,−2,0)

For v and w, verify the Triangle Inequality (inserted as a picture since I can't type it). 

Please give an explanation for each step and full working. 

 

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