document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131583>Question 131583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Why does the inequality sign change when both sides are divided and multiplied by a negative number? Does this happen with equations? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96053 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=96053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Why does the inequality sign change when both sides are divided and multiplied by a negative number? Does this happen with equations?<BR>\n" );
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document.write( "Try it with numbers and you will see what happens:<BR>\n" );
document.write( "Start: -6 < 18<BR>\n" );
document.write( "Multiply both sides by -2<BR>\n" );
document.write( "End: 12 > -36<BR>\n" );
document.write( "The inequality switched and each of the sides changed sign.<BR>\n" );
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document.write( "Start -6 < 18<BR>\n" );
document.write( "Divide both sides by -2<BR>\n" );
document.write( "End: 3 > -9 <BR>\n" );
document.write( "Again, the inequality switch and each of the sides changed sign.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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