document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912745>Question 912745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Q horseshoe R<BR>\n" );
document.write( "2. ~P<BR>\n" );
document.write( "3. P v Q                             /R<BR>\n" );
document.write( "4.                                   2,3,DS<BR>\n" );
document.write( "5.                                   1,4,MP\r<BR>\n" );
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document.write( "the question is what fits in 4 and 5 i know 5 is R but cannot seem to figure out what 4 is. Thank you for your help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554045 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=554045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> DS stands for \"Disjunctive Syllogism\"\r<BR>\n" );
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document.write( "The rule is\r<BR>\n" );
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document.write( "P v Q<BR>\n" );
document.write( "~P<BR>\n" );
document.write( "therefore, Q\r<BR>\n" );
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document.write( "It's a fancy way of saying: \"you have two options, but one of those options is taken away from you: so you're just left with one option\"\r<BR>\n" );
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document.write( "Line 3 has a disjunction which is P v Q. Line 2 has the negation of P, so that forces Q to be leftover\r<BR>\n" );
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document.write( "Therefore, <font size=5 color=\"red\">Q</font> must go in line 4. Line 5 is definitely R because that's the overall conclusion you want to get to.\r<BR>\n" );
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document.write( "Let me know if you need more help or if you need me to explain a step in more detail.<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Jim  </SPAN>\n" );
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