document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262147>Question 262147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8.	Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work.\r<BR>\n" );
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document.write( "I) If the dog licks her nose, then the dog is not happy. <BR>\n" );
document.write( "II) If the dog licks her nose, then the dog is happy.    <BR>\n" );
document.write( "III) If the dog is not happy, then the dog does not lick her nose.\r<BR>\n" );
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document.write( "a. I, II, and III are equivalent <BR>\n" );
document.write( "b. I and II are equivalent <BR>\n" );
document.write( "c. II and III are equivalent <BR>\n" );
document.write( "d. I and III are equivalent <BR>\n" );
document.write( "e. None are equivalent \r<BR>\n" );
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document.write( "How do I show work on this? I don't get it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193118 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=193118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the basic outline to solving this problem\r<BR>\n" );
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document.write( "Step 1) Assign p: the dog licks her nose and q: the dog is happy\r<BR>\n" );
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document.write( "Step 2) Translate each statement into symbolic form.\r<BR>\n" );
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document.write( "Step 3) Create a table for each symbolic statement. Any tables which have equivalent final columns will be equivalent expressions.\r<BR>\n" );
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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\r<BR>\n" );
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document.write( "<TABLE  border=1>\n" );
document.write( "<th>p</th><th>q</th><th>~q</th><th>p -> ~q</th>\r\n" );
document.write( "<tr><TD >T</TD><TD >T</TD><TD >F</TD><TD >F</TD></tr><tr><TD >T</TD><TD >F</TD><TD >T</TD><TD >T</TD></tr><tr><TD >F</TD><TD >T</TD><TD >F</TD><TD >T</TD></tr><tr><TD >F</TD><TD >F</TD><TD >F</TD><TD >T</TD></tr>\n" );
document.write( "</TABLE>\r<BR>\n" );
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document.write( "Do the same for the 2 other statements and compare the last columns in the table. Let me know if this helps. </SPAN>\n" );
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