Question: Show that if a; b R then (a) max{a; b} = 1/2 (a + b + |a - b| and min{a; b} = 1/2

Show that if a; b ∈ R then
(a) max{a; b} = 1/2 (a + b + |a - b| and min{a; b} = 1/2 (a + b - |a - b|):
(b) min{a; b; c} = min{min{a; b}; c}:

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