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?

KEY { Worksheet : Data The 2003 Tour de France data 1. List as many of the W’s as you can for this data set. Who(individuals) : Winners (or Tour de France) What(Variables) : Year of the race, winner of the race, Country of origin, total time, Average speed, stages, Distance, Starting riders, ▯nishing rid- ers. where : France When: 1903-2011 Why: We...