document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042516>Question 1042516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that for n<0<n<BR>\n" );
document.write( "a. |m/n|=|m|/|n|<BR>\n" );
document.write( "b. |mn|=|m||n|<BR>\n" );
document.write( "c. -|m|<=m<=|m| </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657671 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will prove only (a).  You do the rest....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29+=+x ALIGN=MIDDLE  ALT=\"abs%28x%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > if x > 0; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29+=+-x ALIGN=MIDDLE  ALT=\"abs%28x%29+=+-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > if x < 0.  (And of course, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%280%29+=+0 ALIGN=MIDDLE  ALT=\"abs%280%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > .)\r<BR>\n" );
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document.write( "Given: n < 0.\r<BR>\n" );
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document.write( "Case I. m > 0.<BR>\n" );
document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fn+%3C+0 ALIGN=MIDDLE  ALT=\"m%2Fn+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28m%2Fn%29+=+-%28m%2Fn%29+=+m%2F%28-n%29+=+abs%28m%29%2Fabs%28n%29 ALIGN=MIDDLE  ALT=\"abs%28m%2Fn%29+=+-%28m%2Fn%29+=+m%2F%28-n%29+=+abs%28m%29%2Fabs%28n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Case II. m < 0.<BR>\n" );
document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fn+%3E+0 ALIGN=MIDDLE  ALT=\"m%2Fn+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28m%2Fn%29+=+m%2Fn+=+%28-m%29%2F%28-n%29+=+abs%28m%29%2Fabs%28n%29 ALIGN=MIDDLE  ALT=\"abs%28m%2Fn%29+=+m%2Fn+=+%28-m%29%2F%28-n%29+=+abs%28m%29%2Fabs%28n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Case III. m = 0 is trivial after substitution of 0 for m to both sides of the equation.\r<BR>\n" );
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document.write( "Hope you get the drift...<BR>\n" );
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