document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142561>Question 142561</A>: <I><SPAN STYLE=\"word-break: break-all;\">  why it is necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103769 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=103769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  why it is necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number.<BR>\n" );
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document.write( "Draw a number line.<BR>\n" );
document.write( "Plot the points x = -2 and x = +3<BR>\n" );
document.write( "Notice that -2 is to the left of +3, so -2 < +3<BR>\n" );
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document.write( "Now multiply both numbers by -5 and see what happens:<BR>\n" );
document.write( "The -2 becomes +10 and the +3 becomes -15<BR>\n" );
document.write( "Plot those points on the number line. Notice <BR>\n" );
document.write( "that the -15 is to the left of +10 so -5*+3 < -5*-2:<BR>\n" );
document.write( "the order has switched because you multiplied by a negative.\r<BR>\n" );
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document.write( "---------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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