(Solved) : Following Question Domain Discourse Set Male Patients Clinical Study Define Following Pred Q31072043 . . . .

In the following question, the domain of discourse is a set ofmale patients in a clinical study. Define the followingpredicates:

P(x): x was given the placebo

D(x): x was given the medication

M(x): x had migraines

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: Some patient was given the placebo and themedication.

∃x (P(x) ∧ D(x))

Negation: ¬∃x (P(x) ∧ D(x))

Applying De Morgan’s law: ∀x (¬P(x) ∨ ¬D(x))

English: Every patient was either not