Word Count : 532

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Let's go through each statement one by one: --- ### i) Every infinite set is an open set. False. Counterexample: The set of natural numbers, \( \mathbb{N} = \{1, 2, 3, \dots\} \), is infinite, but it is not an open set in \( \mathbb{R} \) because it does not contain any open intervals around its points. In fact, for a set to be open, it must contain an open interval around each of its points, which the set of natural numbers does not. --- ### ii) The negation of \( p \land \neg q \) is \( p \to q \). True. Proof: The expression _________ __________ ____ ________ ______ ______ _____.
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