# SOLUTION: Hello there! I have been trying to attempt to make a truth chart & am completely lost! Can you please help me with the following problem? ~p &#8594; (p^~q) The symbols get

Algebra ->  Algebra  -> Conjunction -> SOLUTION: Hello there! I have been trying to attempt to make a truth chart & am completely lost! Can you please help me with the following problem? ~p &#8594; (p^~q) The symbols get      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

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

 Click here to see ALL problems on Conjunction Question 484348: Hello there! I have been trying to attempt to make a truth chart & am completely lost! Can you please help me with the following problem? ~p → (p^~q) The symbols get me all confused. I'm trying to understand the logic of what the problem is saying...any help would be greatly appreciated. Thank you.Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!~p → (p ^ ~q) F:::::::::T::::::F F:::::::::T::::::T T:::::::::F::::::F T:::::::::F;:::::T ============================ Now figure the ^ column which is T only when both p and ~q are true: ~p → (p ^ ~q) F:::::::::T::F:::F F:::::::::T::T:::T T:::::::::F::F:::F T:::::::::F::F:::T ============================ Now figure the "implies" column which is F only when ~p is T and ^ is F ~p → (p ^ ~q) F::::T::::T::F:::F F::::T::::T::T:::T T::::F::::F::F:::F T::::F::::F::F:::T ---- So the statement is true when p is true. ================= Please use Google to search for "truth tables" to get additional information on this topic. As you can see, it is very cumbersome to display a solution on this site. ================= Cheers, Stan H.