Answer
a. true
b. true
c. true
Work Step by Step
p $\rightarrow$ q is false means that p is true and q is false. Recall by the definition of a conditional statement, when the if element is T and the then element is F, the statement is F. In all other cases the statement is T. See the truth table below. This means for (a) ~p is false and q is false which means ~p $\rightarrow$ q is true. For (b) p is true and q is false so p $\lor$ q is true. For (c) q is false and p is true so q $\rightarrow$ p is true.
