Question

assume that p and q are false, with r true. find the truth value for each statement

r→(p∧~q),
(p→q)∧(r→q)
~(pvq)
pv~q

Answer 1

To me, the easiest way to do this is to convert each of these to English.

if r then (p and not q). Since r is true, the result is (p and not q). Since p is false, the result is false, because for AND, if either side is false they both are.

(if p then q) and (if r then q)

Since p is false, the if p then q is false. Since this is an and, if the first part is false, the entire thing is false.

Does this help with the others?