Assume p is T, q is F, and r is
F. Find the truth value for the compound statement.

Name: Assume p is T, q is F, and r is F. Find the truth value for the compound statement.
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Question

Assume p is T, q is F, and ​r is
F. Find the truth value for the compound statement.
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Quizplus · Accepted Answer

Since q is F and r is F, the conjunction q ∧ r is also F. And since p is T, the disjunction (p ∨ q) is always T. Thus, the compound statement [(p ∨ q) ∧ ~(q ∧ r)] is equivalent to (T ∧ ~F), which simplifies to T. However, the negation of T is F, so the final truth value is F.

Assume P Is T, Q Is F, and ​R Is

Assume P Is T, Q Is F, and R Is