Question: If C is a convex set, then for any x 1 , x 2 , . . . , x n C and 0 <

IfC is a convex set, then for any x1,x2,...,xnC and 0<1,2,...,n<1 satisfying 1+2+...+n=1 , prove that1x1+2x2+...+nxnC

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