SOLUTION: HELP Determine the truth value of the statement ~q arrow [ ~ r v (revered) (p v q)] when p is false, q is true, and r is true.

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Question 144085This question is from textbook Survey of Math w/ Apllications
: HELP
Determine the truth value of the statement ~q arrow [ ~ r v (revered) (p v q)] when p is false, q is true, and r is true.
This question is from textbook Survey of Math w/ Apllications

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in the truth values:
p=F
q=T
r=T
~q ↔ [ ~r ^ (p v q) ]
~T ↔ [ ~T ^ (F v T) ]
since ( F v T = T )
~T ↔ [ ~T ^ T ]
( ~T = F )
F ↔ [ F ^ T ]
( F ^ T = F )
F ↔ F
So this statement is true.