SOLUTION: If p is true, q is true, and r is false, then the truth value of ~[~(p^r) V ~q] is ? (True or False?)

Algebra ->  Conjunction -> SOLUTION: If p is true, q is true, and r is false, then the truth value of ~[~(p^r) V ~q] is ? (True or False?)       Log On


   

Question 325463: If p is true, q is true, and r is false, then the truth value of ~[~(p^r) V ~q] is ? (True or False?)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If p is true, but r is false, then is false (both need to be true for it to be true).



So is then true (it's the opposite of false).



Since is true, and we're dealing with an 'or' operation, we don't need to worry about the truth value of q or ~q because is automatically true.



So on the flipside, is false.



So the entire expression is false.