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2. Use Jensen's inequality to prove that, for vectors x of any dimension, if g(x) is a convex function, the set w(c)={x : g(x)

2. Use Jensen's inequality to prove that, for vectors x of any dimension, if g(x) is a convex function, the set w(c)={x : g(x) <=c} is a convex set. Describe that set in words, and draw a 2-dimensional example of such a case

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