What is the truth value of p ∨ q?

The truth or falsehood of a proposition is called its truth value. Note that ∨ represents a non-exclusive or, i. e., p ∨ q is true when any of p, q is true and also when both are true. On the other hand ⊕ represents an exclusive or, i. e., p ⊕ q is true only when exactly one of p and q is true.