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.