# SOLUTION: Please design a truth table for these problems. ~ ( ~ p &#923; q ) V r and ( p &#8594; q ) &#8596; [ ( ~ p &#923; q ) V p ] I'm super confused on how I messed up!

Algebra ->  Algebra  -> Conjunction -> SOLUTION: Please design a truth table for these problems. ~ ( ~ p &#923; q ) V r and ( p &#8594; q ) &#8596; [ ( ~ p &#923; q ) V p ] I'm super confused on how I messed up!      Log On

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 Logic: Propositions, Conjunction, Disjunction, Implication Solvers Lessons Answers archive Quiz In Depth

 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(8909)   (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```