Ext2 Inequalities: The (ℝeal) Triangle Inequalities
We prove the triangle inequalities for real numbers x and y. Knowing how to prove and use the first triangle inequality is explicitly mentioned in the HSC Extension 2 Maths syllabus, and thus is considered standard coursework.

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TRIANGLE INEQUALITY for Absolute Value: INTUITION and proof!

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Ext2 Inequalities: Elegant Proof of the AM-GM for n variables

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The Triangle Inequalities (1 of 3: Sum of Complex Numbers)

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Proof: Reverse Triangle Inequality Theorem | Real Analysis

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Real Analysis: The Absolute value/variant of triangle inequality

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Ext2 Inequalities: Algebraic Proof of HM-GM-AM-QM Inequality

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Solving the Same Quadratic 10 DIFFERENT WAYS | jensenmath.ca

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🔶04 - Theorems of Inequalities and Absolute Value Function

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Proof: A Useful Absolute Value Inequality | Real Analysis

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Truly Understand Trigonometry

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401R3.3 Inequalities, Absolute value, and Triangle Inequality

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Looks hard, but here are two methods.

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The Language of Calculus I Wish I Had Learned First

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How To Solve Absolute Value Equations

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Unlock the Secrets of Inequality Proof with Mathematical Induction 🧐🔍

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Vector triangle inequality | Vectors and spaces | Linear Algebra | Khan Academy

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Analysis - Proof of the triangle inequality by cases

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Triangle Inequality

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Ext2 Inequalities: Geometric Proof of HM-GM-AM-QM Inequality

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