SOLUTION: Given p is true, q is true, and r is false, find the truth value of the statement ~q --> (p ^ ~r)

Algebra.Com
Question 335709: Given p is true, q is true, and r is false, find the truth value of the statement ~q --> (p ^ ~r)
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


You don't know. If the hypothesis of a conditional statement is true, then the conclusion is true, but if the hypothesis is false, you can't tell anything about the conclusion. Since q is true, not q must be false, hence the hypothesis fails and the statement is inconclusive.


John

My calculator said it, I believe it, that settles it


RELATED QUESTIONS

Given p is true, q is true, and r is false, find the truth value of the statement ~p -->... (answered by user_dude2008)
Given p is true, q is true, and r is false, find the truth value of the statement ~p (~q (answered by Fombitz)
Given p is true, q is true, and r is false, find the truth value of the statement ~q... (answered by Theo)
PLEASE HELLPP!!! Given p is false, q is true, and r is false, find the truth value of... (answered by MathLover1)
Given p is true, q is false, and r is false, find the truth value of the statement (q V... (answered by jim_thompson5910)
Given p is true, q is false, and r is false, find the truth value of the statement... (answered by jim_thompson5910)
I am not to sure on this equation. Given p is true, and r is false, find the truth value... (answered by jim_thompson5910)
if p is true, q is false, and r is true, find the truth value of the statement. (r... (answered by Theo)
if p is true, q is false, and r is true, find the truth value of the statement.(r → (answered by tinbar)