document.write( "Question 294681: Hello Can someone please help me, I did try to answer the question without asking for help but now I just got confused. I posted the question and the answer I have so far but I am stuck, I am not good with truth tables. \r
\n" ); document.write( "\n" ); document.write( "Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. \r
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\n" ); document.write( "\n" ); document.write( "I) If the dog licks her nose, then the dog is not happy.
\n" ); document.write( "II) If the dog licks her nose, then the dog is happy.
\n" ); document.write( "III) If the dog is not happy, then the dog does not lick her nose
\n" ); document.write( "HERE is what I have so far: \r
\n" ); document.write( "\n" ); document.write( "For example, translate \"If the dog licks her nose, then the dog is not happy. \" into p -> ~q and set up the following table
\n" ); document.write( "p q ~q p -> ~q
\n" ); document.write( "T T F F
\n" ); document.write( "T F T T
\n" ); document.write( "F T F T
\n" ); document.write( "F F F T \r
\n" ); document.write( "\n" ); document.write( "I want to say that the answer will be ANSWER: C II AND III but I do not know how to get to the second and third truth statement.
\n" ); document.write( "Can you please help me.
\n" ); document.write( "Thank you so much
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\n" ); document.write( "

Algebra.Com's Answer #212464 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
Yes, II and III are contra-positives.
\n" ); document.write( "Negate each part and reverse the order.
\n" ); document.write( "p -> q
\n" ); document.write( "-q -> -p
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