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Question The domain of discourse is a group working on a project at a company. Define the following predicates. D(x): x missed the deadline. N(x):

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The domain of discourse is a group working on a project at a company. Define the following predicates.

  • D(x): x missed the deadline.
  • N(x): x is a new employee.

Consider a situation in which there are five people in the group. The following table gives values for the predicates D and N for each member of the group. For example, Bert did not miss the deadline because the truth value in the row labeled Bert and the column labeled D(x) is F.

Using these values, determine whether each quantified expression evaluates to true or false. Then translate the statement into English.

Name D(X)

N(X)

Sam T F
Beth T T
Melanie F T
Al T T
Bert F T

(a)

x (D(x) N(x))

(b)

x ((x Sam) N(x))

(c)

x (D(x) N(x))

(d)

x (D(x) N(x))

(e)

N(Bert) D(Bert)

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