Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement,

~ p v (q ∧ ~ r ).

 

True or false.
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1 Answer

~r is true when r is false.

q is false, so q∧~r is FALSE AND TRUE=FALSE.

~p is false because p is true, so ~p∨(q∧~r) is FALSE OR FALSE=FALSE, if OR is inclusive-OR (Boolean addition).

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