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Unformatted text preview: (c) There is a largest integer. (d) There exist integers p and q such that q > 0 and p 2 /q 2 = 2. (e) Between any integer and any larger integer, there is a real number. (f) There is an integer that is not the square of any integer. (g) Every real number has a unique cube root. (h) For every R + , there is a positive real number such that | x-2 | < implies | x 2-4 | < whenever x R . 2. Find predicates P ( x ) and Q ( x ) such that one of the following statements is true and the other is false: x R , P ( x ) Q ( x ) and ( x R , P ( x )) ( x R , Q ( x )) ....
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- Spring '08