For an integer n, consider the following two open sentences P(n): n3 n = Q(n): n2 2n
Chapter 1, Problem 5(choose chapter or problem)
For an integer n, consider the following two open sentences P(n): n3 n = Q(n): n2 2n. (a) Find an integer n such that P(n) Q(n) is true but P(n) Q(n) is false. (b) Find an integer n such that P(n) Q(n) is true but P(n) Q(n) is false. (c) Does there exist an integer n such that P(n) Q(n) and P(n) Q(n) are both true? (d) Does there exist an integer n such that P(n) Q(n) and P(n) Q(n) are both false?
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