Concept explainers
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) There exists an even prime.
(b) 0 is an integer but not a natural number.
(c) Every natural number is an integer.
(d) Not every integer is a natural number.
(e) Every prime except 2 is odd.
(f) 2 is an even prime.
(g) 2 is the only even prime.
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Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
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