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?

Explanation:
A disjunction is true if at least one of its parts is true. Since P is true and Q is true, the statement P ∨ Q is true. In standard logic, a single proposition has a truth value of either true or false, so the other options like false, neither, or both don’t apply here. The OR of two true statements remains true, so the correct conclusion is that P ∨ Q is true.

A disjunction is true if at least one of its parts is true. Since P is true and Q is true, the statement P ∨ Q is true. In standard logic, a single proposition has a truth value of either true or false, so the other options like false, neither, or both don’t apply here. The OR of two true statements remains true, so the correct conclusion is that P ∨ Q is true.