BranchesHistoryHelpLogin
Welcome guest
You're not logged in.
285 users online, thereof 0 logged in

Theorem: Reverse Triangle Inequalities

For any real numbers \(x,y\in\mathbb R\), the following reverse triangle inequalities hold:

  1. $|x+y|\ge |x|-|y|,$
  2. $|x-y|\ge \left||x|-|y|\right|,$

| | | | | created: 2017-03-19 12:25:53 | modified: 2020-02-06 20:21:01 | by: bookofproofs | references: [581]

1.Proof: (related to "Reverse Triangle Inequalities")

Edit or AddNotationAxiomatic Method

This work was contributed under CC BY-SA 4.0 by:

This work is a derivative of:

(none)

Bibliography (further reading)

[581] Forster Otto: “Analysis 1, Differential- und Integralrechnung einer Veränderlichen”, Vieweg Studium, 1983