In the following question, the domain is a set of employees who work at a company. Ingrid is one of the employees at the company. Define the following predicates: S(x): x was sick yesterday
W(x): x went to work yesterday
V(x): x was on vacation yesterday
Translate the following English statements into a logical expression with the same meaning.
(a) At least one person was sick yesterday
(b) Everyone was well and went to work yesterday.
(c) Everyone who was sick yesterday did not go to work
(d) Yesterday someone was sick and went to work
(e) Everyone who did not got to work yesterday was sick
(f) Everyone who missed work was sick or on vacation (or both)
(g) Someone who missed work was neither sick nor on vacation.
(h) Each person missed work only if they were sick or on vacation (or both)
(i) Ingrid was sick yesterday but she went to work anyway
(j) Someone besides Ingrid was sick yesterday. (Note that the statement does not indicate whether or not Ingrid herself was sick yesterday. Also, for this question, you will need the expression (x # Ingrid)
(k) Everyone besides Ingrid was sick yesterday. (Note that the statement does not indicate whether or not Ingrid herself was sick yesterday. Also, for this question, you will need the expression ( Ingrid).)