Final answer:
The truth value of (~p V q) is false because both ~p is false (since p is true) and q is false. The logical expression results in false when using an OR operator with two false operands.
Step-by-step explanation:
To determine the truth value of the logical expression (~p V q), we first need to consider the values given for p, q, and r. We are told that p is true, q is false, and r is true. However, since r does not appear in our expression, we can ignore it.
The symbol ~ represents the logical NOT, and V represents the logical OR. The expression ~p would be the negation of p, which is false since p is true. So ~p is false.
Now we evaluate the logical OR (V) between ~p and q. In a logical OR, if either of the operands is true, the result is true. Since we've established that both ~p and q are false, the result of (~p V q) is also false.
Therefore, the truth value of (~p V q) given that p is true and q is false is B) False.