Ext2 Inequalities: The (ℝeal) Triangle Inequalities

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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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For the second inequality, you could have started with:
2xy ≤ 2|x||y|
-2|x||y| ≤ -2xy
and complete the rest.

SimchaWaldman
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