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Suppose A and B are both connected subsets of the same metric space, and A n B 75 9. (a) Prove that A U B

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Suppose A and B are both connected subsets of the same metric space, and A n B 75 9. (a) Prove that A U B is connected . (b) Is A I'i B necessarily connected? (Hint: Don't confine your thinking to lit1.)

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