If p is false, q and r are true, what is the truth value of the statement below?
(p ^ q) - (r V p)

What I determined is that p ^ q false, r V p is true, hence false - true. I got that the statement was true, since the only way a conditional is false is if the first part is true and the second part is false. My answer book says its false, and I have no idea why.

Question

If p is false, q and r are true, what is the truth value of the statement below?
(p ^ q) -> (r V p)

What I determined is that p ^ q false, r V p is true, hence false -> true. I got that the statement was true, since the only way a conditional is false is if the first part is true and the second part is false. My answer book says its false, and I have no idea why.

hero · Answer

http://turner.faculty.swau.edu/mathematics/materialslibrary/truth/

anonymous · Answer

Used it and it said it was true just as I had thought, I'm assuming it was an error?

hero · Answer

the book made an error likely

anonymous · Answer

it is true

anonymous · Answer

http://www.kwi.dk/projects/php/truthtable/?