If P is false and Q is true, is P ∨ Q true?

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Multiple Choice

If P is false and Q is true, is P ∨ Q true?

In logic, P ∨ Q is true if at least one of P or Q is true. Here P is false and Q is true, so P ∨ Q is true, regardless of P. The only way P ∨ Q could be false is if both P and Q were false; since Q is true, that isn’t the case. So the correct result is Yes. The other options would require uncertainty or both to be false, which doesn’t apply here.

In logic, P ∨ Q is true if at least one of P or Q is true. Here P is false and Q is true, so P ∨ Q is true, regardless of P. The only way P ∨ Q could be false is if both P and Q were false; since Q is true, that isn’t the case. So the correct result is Yes. The other options would require uncertainty or both to be false, which doesn’t apply here.

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