*2. Let x and y be distinct real numbers. Prove there is a neighborhood P of x and a neighborhood Q of y such that PnQ = Ø. *3. Suppose x is a real number and > 0. Prove that (x - e, x + €) is a neighborhood of each of its members; in other words, if y E (x - e, x + e), then there is 8 >0 such that

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