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Question 550856: Please design a truth table for these problems.
~ ( ~ p Λ q ) V r
and
( p → q ) ↔ [ ( ~ p Λ q ) V p ]
I'm super confused on how I messed up!
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website!
Rule for ~ "T after it becomes F; F after it becomes T"
Rule for /\ "T on both sides of it becomes T, otherwise F"
Rule for \/ "F on both sides of it becomes F, otherwise T"
Rule for -> "T on left of it and F on right of it becomes F, otherwise T"
Rule for <-> "T on both sides of it or F on both sides of it becomes T, otherwise F"
~(~pΛq)Vr
p q r ~p (~p/\q) ~(~p/\q) ~(~p/\q)\/r
T T T F F T T
T T F F F T T
T F T F F T T
T F F F F T T
F T T T T F T
F T F T T F F
F F T T F T T
F F F T F T T
and
(p→q)↔[(~pΛq)Vp]
p q ~p (p->q) (~p/\q) [(~p/\q)\/p] (p->q)<->[(~p/\q)\/p]
T T F T F T F
T F F F F T F
F T T T T T T
F F T T F F T
Edwin
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