Answer
(a) False
(b) True
Work Step by Step
a) We know that statement R is false. Since we are given an "AND" between statement P and R, both must be true. Since statement R is false, we know that "P AND R" is also false.
b) We know that ~R is the opposite of R. Since both the opposite of R as well as Q are true, we know that the statement is true.