SOLUTION: Given p is true, q is true, and r is false, find the truth value of the statement ~p -> (q V ~r). Show step by step work. Use keyboard shortcuts of --> for , <--> for ↔, V

Question 591862: Given p is true, q is true, and r is false, find the truth value of the statement ~p -> (q V ~r).
Show step by step work. Use keyboard shortcuts of --> for , <--> for ↔, V for , and ^ for , if needed.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
~p -> (q V ~r)

~T -> (T V ~F)

F -> (T V T)

F -> T

T

So ~p -> (q V ~r) is true when p is true, q is true, and r is false.
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SOLUTION: Given p is true, q is true, and r is false, find the truth value of the statement ~p -> (q V ~r). Show step by step work. Use keyboard shortcuts of --> for , <--> for &#8596;, V