Exercise 3. Are the following subsets of the real line with its usual topology (in which U CR is open if and only if for every x € U there is € > 0 with (x − ¤, x + €) ≤ U) open, closed, both or neither? Explain. (1) [1,3); (2) (1,3) U (5, ∞); (3) (-∞, ∞); (4) { ½ : n € N} U {0}; (5) The set Q of rationals.

Q: Use the first eight rules of inference to derive the conclusion of the symbolized argument below. A…

A: The objective is to prove the given argument using rules of inference.

Q: Use the first eight rules of inference to derive the conclusion of the symbolized argument below. F…

A: The objective is to prove the given argument using rules of inference.

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Q: lease dont provide hand writetn solution

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