document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144084>Question 144084</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321206002/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me\r<BR>\n" );
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document.write( "Use Euler Diagrams to determine whether the following syllogism is valid or invalid.<BR>\n" );
document.write( "  	Some senators are conservationists<BR>\n" );
document.write( "	No conservationists are pro-development<BR>\n" );
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document.write( "            &#61532; Some senators are not pro-development<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104872 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Sketch one circle to represent <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Senators ALIGN=MIDDLE  ALT=\"Senators\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Sketch another circle, which partially overlaps the first, to represent <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Conservationists ALIGN=MIDDLE  ALT=\"Conservationists\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=overlapping ALIGN=MIDDLE  ALT=\"overlapping\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+area ALIGN=MIDDLE  ALT=\"+area\"   DISABLED_style= \"max-width:90%; height:auto;\" > shows that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=some ALIGN=MIDDLE  ALT=\"some\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+senators ALIGN=MIDDLE  ALT=\"+senators\"   DISABLED_style= \"max-width:90%; height:auto;\" > are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=conservationists ALIGN=MIDDLE  ALT=\"conservationists\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since the second statement means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=all ALIGN=MIDDLE  ALT=\"all\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+conservationists+ ALIGN=MIDDLE  ALT=\"+conservationists+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=are ALIGN=MIDDLE  ALT=\"are\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+not+ ALIGN=MIDDLE  ALT=\"+not+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pro-development ALIGN=MIDDLE  ALT=\"pro-development\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then it follows that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=some ALIGN=MIDDLE  ALT=\"some\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+senators ALIGN=MIDDLE  ALT=\"+senators\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+are ALIGN=MIDDLE  ALT=\"+are\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+not ALIGN=MIDDLE  ALT=\"+not\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pro-development ALIGN=MIDDLE  ALT=\"+pro-development\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "So, the syllogism is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=valid ALIGN=MIDDLE  ALT=\"valid\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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