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Let S = {(X1, …., Xn) € R^n | Xi ≥0, X1 + … +Xn = 1}. Show that S is convex.

Suppose f(Si) = {X1, X2,..., Xn}

AND g(Si) = {X1 + X2+ ....+Xn}

but If do that, then f(Si) and g(Si), both will increase. Now I'm not sure where to go from here.

*PS: Both functions are continuous convex function of Xi (Where = 1, 2, ..., N)

Now as i mentioned earlier, both function increases, so does that also mean that S is convex?

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# Help with Convex.

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