Problem 1) For the following, prove the conclusion from the premises. (1) x  D: P(x)Q(x) (2) x  D: R(x)~Q(x) (3) Sam  D (4) P(Sam) Desired Conclusion: R(Sam)

Problem 2) For each of the following, either prove the following using a Generic Particular proof approach or disprove with a counter-example. (a) If x and y are rational numbers then xy is a rational number. (b) The sum of any three consecutive integers is odd.