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Let p and q represent false statements, and let r represent a true statement. Find the truth value of the given compound statement.

[(p→a) → (qA~r)]Vp

User Gymbrall
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1 Answer

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Final answer:

The truth value of the compound statement [(p→a) → (q∧~r)]Vp, with p and q being false and r being true, is false.

Step-by-step explanation:

The student's question involves calculating the truth value of the compound statement [(p→a) → (q∧~r)]Vp given that p and q are false statements and r is a true statement. The operator → represents the logical implication, ∧ represents the logical AND, ~ is the negation operator, and V represents the logical OR. To evaluate the truth value, follow these steps:





The truth value of [(p→a) → (q∧~r)]Vp is therefore false.

User Megakorre
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