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
OR
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