Question: Let f be a real-valued function on (a, b) such that f' exists and satisfies f'(x) < M for all x (a, b) and

Let f be a real-valued function on (a, b) such that f'

Let f be a real-valued function on (a, b) such that f' exists and satisfies f'(x) < M for all x (a, b) and for some M 0. Show that for every EC (a, b) we have pi(f(E)) Mpz (E).

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