document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=646706>Question 646706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the Law of Detachment to make a conclusion for the following question. <BR>\n" );
document.write( " <BR>\n" );
document.write( "If two lines are parallel, then they do not intersect. Line l is parallel to line m.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405922 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=405922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "The Law of Detachment states:<BR>\n" );
document.write( "If a conditional is true and its hypothesis is true, then its conclusion is true.<BR>\n" );
document.write( "In symbolic form: if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+-%3E+q ALIGN=MIDDLE  ALT=\"p+-%3E+q\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a true statement and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > is true, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" > is true.\r<BR>\n" );
document.write( "\n" );
document.write( "you are given:\r<BR>\n" );
document.write( "\n" );
document.write( "If two lines are parallel, then they do not intersect. (General conditional)<BR>\n" );
document.write( " Line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" > is parallel to line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" >. (Specific situation)\r<BR>\n" );
document.write( "\n" );
document.write( "What do you think? Does the Law of Detachment apply here? We have a general <BR>\n" );
document.write( "conditional which is true, but its conclusion is \"Line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" > is parallel to line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\"; so, the Law of Detachment doesn't apply here (right conclusion would be \"they do not intersect\").<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );