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OpenStudy (anonymous):
Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement. [(~p V ~q) ^ ~q] true false
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jimthompson5910 (jim_thompson5910):
If p is true, then ~p is false. So ~p = F If q is false, then ~q is true. So ~q = T If r is false, then ~r is true. So ~r = T [(~p V ~q) ^ ~q] [(F V T) ^ T] [T ^ T] T So the truth value of the compound statement is true.
jimthompson5910 (jim_thompson5910):
notes: p v q is true if either p or q is true. Also, p ^ q is only true if BOTH p AND q are true.
OpenStudy (anonymous):
that makes sense. :)
OpenStudy (anonymous):
ie 1 line of the truth table (the second) http://www.wolframalpha.com/input/?i=%28%28%C2%ACp%29+or+%28%C2%ACq%29%29+and+%28%C2%ACq%29%29+
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