If f: R -> R is a bounded function that is Lebesgue integrable, then which of the following must be true?
(A)f is Riemann integrable. (B)There does not exist a countably infinite E of R such that f is nondifferentiable at every x \in E. (C)There does not exist an uncountable subset E of R such that f is nondifferentiable at every x \in E. (D)None of the above.
D