Suppose axiom of choice is true. Let \(A\) be an uncountable set and \(B\) be a countable set. Which of these statements relate \(|A|\) to \(|A \setminus B|\)?

- A. \(|A| < |A \setminus B|\), always.
- B. \(|A| = |A \setminus B|\), always.
- C. \(|A| > |A \setminus B|\), always.
- D. \(|A| \le |A \setminus B|\); both smaller than and equality cases can occur.
- E. \(|A| \neq |A \setminus B|\); both smaller than and greater than cases can occur.
- F. \(|A| \ge |A \setminus B|\); both greater than and equality cases can occur.
- G. None of the above choices

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