Question: a. Show that the expression equals a if a b and equals b if b a. In other words, max {a, b} gives

a. Show that the expressionmax {a, b} = a + b 2 + |a - bl


equals a if a ≥ b and equals b if b ≥ a. In other words, max {a, b} gives the larger of the two numbers a and b.


b. Find a similar expression for min {a, b}, the smaller of a and b.

max {a, b} = a + b 2 + |a - bl 2

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