Problem 8 (10 points): In the following question, the domain of discourse is a group of people. Define the following predicates: S(x): x was sick yesterday. W(x): x went to work yesterday. Translate the following English statements into a logical expression with the same meaning: Someone who was sick yesterday went to work. Everyone who was sick yesterday did not go to work. At least one person was sick yesterday. No one went to work yesterday. Everyone who did not get work yesterday was sick.

Problem 9 (10 points): Determine the truth value of each expression below if the domain is the set of all real numbers. xy (x + y = 0) xy (x + y = 0) xyz (z = 3/(x - y)) xyz (z = x/y) zyx (x^2 + y^2 = z^2)