Lebl-Basic-Analysis-I · Problem 1.3.2

Real Numbers

Mathematics · absolute-value

Problem

Show: a) max⁡{x,y}=x+y+∣x−y∣2\max\{x, y\} = \dfrac{x + y + |x - y|}{2} b) min⁡{x,y}=x+y−∣x−y∣2\min\{x, y\} = \dfrac{x + y - |x - y|}{2}

Related theory

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