(Solved) : Following Question Domain Discourse Set Students Show Test Define Following Predicates P X Q31072079 . . . .

In the following question, the domain of discourse is a set ofstudents who show up for a test. Define the followingpredicates:

P(x): x showed up with a pencil

C(x): x showed up with a calculator

Translate each statement into a logical expression. Then negatethe expression by adding a negation operation to the beginning ofthe expression. Apply De Morgan’s law until each negation operationapplies directly to a predicate and then translate the logicalexpression back into English.

Sample question: Every student showed up with a calculator.

∀x C(x)

Negation: ¬∀x C(x)

Applying De Morgan’s law: ∃x ¬C(x)

English: Some student showed up without a calculator.

(a)

One of the students showed up