In the following question, the domain of discourse is a set of employees who work at...
In the following question, the domain of discourse 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.
(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).
(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).)
Homework Answers
We had to assume a predicate for x beside y as B(x, y)
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In the following question, the domain of discourse is a set of
employees who work at...
Predicates P and Q are defined below. The domain of discourse is the set of all...
Predicates P and Q are defined below. The domain of discourse is the set of all positive integers. P(x): x is prime Q(x): x is a perfect square (i.e., x = y2, for some integer y) Find whether each logical expression is a proposition. If the expression is a proposition, then determine its truth value. 1) ∃x Q(x) 2) ∀x Q(x) ∧ ¬P(x) 3) ∀x Q(x) ∨ P(3)
Predicates P and Q are defined below. The domain of discourse is the set of all...
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employs 9 individuals who work 8-hour days and are paid hourly.
Each employee earns 10 paid vacation
days and 6 paid sick days annually. Vacation days may be taken
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4. Let the universe of discourse, U, be the set of all people, and let M(x,y) be "x is the mother of y." Which of the following is a true statement? Translate it into English. a. (Ex)u((Vy)u(M(x, y))) b. (Vy)u((Ex)u(M(x, y))) C. Translate the following statement into logical notation using quantifiers and the proposition M(x, y) : "Everyone has a maternal grandmother."
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Matt Broderick Company began operations on January 2, 2013.
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employs 9 individuals who work 8-hour days and are paid hourly.
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