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Find equivalent formulations of each of the given statements

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Question: Let P denote the set of primes and E the set of even integers. As always, Z and N denote the integers and natural numbers, respectively. Find equivalent formulations of each of the following statements using the notation of set theory that has been introduced in this section.

(a) [BB] There exists an even prime.

(b) 0 is an integer but not a natural number.

(c) Every prime is both a natural number and an integer.

(d) Every prime except 2 is odd.

Reference no: EM131567700

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