Question

For the following questions, the domain for the variable x is a group of employees working on a project. The predicate N(x) says thatx is a new employee. The predicate D(x) says that x met his deadline. Consider the group defined in the table below: Name N(X) D(x) Happy F F F Sleepy T Grumpy T T Bashful T T 1) Is the statement "Every new employee met his deadline" true or false for the group defined in the table? O True O False 2) Is the statement "vx (N(x) D(x))"true or false for the group defined in the table? O True O False 3) Select the logical expression that is equivalent to the statement: "Every new employee met his deadline O vx (N(x) D(x)) O vx (N(X) - D(x)) Feedback

Answer 1

1) True as for N(X) true we have D(X) is also true so the statement is true.
2)false as for All x N(X) ^ D(X) is not true as for x = Happy and sleepy it is false.
3)
Every New Employee met his deadline will be represented by
$\forall$ (N(X) -> D(X))

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