If P is true and Q is true, what is the truth value of P ∧ Q?

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Multiple Choice

If P is true and Q is true, what is the truth value of P ∧ Q?

Conjunction is tested here: the statement P ∧ Q is true exactly when both P and Q are true. Since both P and Q are true, P ∧ Q must be true. If either one were false, the conjunction would be false, but with both true the result is true. (In truth-table terms, T ∧ T equals T, while any other combination yields F.) So the truth value is true.

Conjunction is tested here: the statement P ∧ Q is true exactly when both P and Q are true. Since both P and Q are true, P ∧ Q must be true. If either one were false, the conjunction would be false, but with both true the result is true. (In truth-table terms, T ∧ T equals T, while any other combination yields F.) So the truth value is true.

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