Indicate whether each of the following statements is true or false. 1. GpA (p q)) -q is a tautology. 2, Gp v q) v (p -q) is a tautology 3. 3x(3x = 1) where the domain of x consists of all integers. 4. vx(x2 x) where the domain of x consists of all integers. 5. The following argument is valid: "Everyone enrolled in the university has lived in a dormitory. Tom has never lived in a dormitory. Therefore, Tom is not enrolled in the university