Convert the symbolic compound statement into words.
-p represents the statement : "Students are happy." q represents the statement: "Teachers are happy."
Translate the following compound statement into words: $\sim ( p \vee \sim q )$
A)Students are not happy and teachers are not happy.
B)Students are not happy or teachers are not happy.
C)It is not the case that students are happy or teachers are not happy.
D)It is not the case that students are happy and teachers are not happy.

Question

Quizplus · Accepted Answer

The given compound statement $\sim ( p \vee \sim q )$ translates to "It is not the case that students are happy or teachers are not happy." This is because $\sim$ negates the entire statement inside the parentheses, $p \vee \sim q$ means "students are happy or teachers are not happy," and the negation flips this to indicate it is not the case that this condition is met.

Convert the Symbolic Compound Statement into Words ∼(p∨∼q)\sim ( p \vee \sim q )∼(p∨∼q)

Convert the Symbolic Compound Statement into Words $\sim ( p \vee \sim q )$