Let aI , a2, ... , an, and bl , b2, ... , bn be real
Chapter 4, Problem 4.3.21(choose chapter or problem)
Let aI , a2, ... , an, and bl , b2, ... , bn be real numbers. Use the recursive definitions that you gave in Exercise 20 to prove these. a) max( -aI , -a2, ... , -an) = - min(al' a2, ... , an) b) max(al + bl, a2 + b2, ... , an + bn) max(al, a2, ... , an) + max(bl , b2, ... , bn) c) min(al + bl , a2 + b2, ... , an + bn) ::: min(al' a2, ... , an) + min(bl' b2, ... , bn)
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