document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176364>Question 176364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you give me an example of why the inequality sign changes when both sides are multiplied or divided by a negative number? I just don't understand and hope you can give me some examples. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131461 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131461\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E1 ALIGN=MIDDLE  ALT=\"x%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "All points to the right of x=1 satisfy that equation.<BR>\n" );
document.write( "Now multiply the equation by (-1) and don't change the sign.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%3E-1 ALIGN=MIDDLE  ALT=\"-x%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now pick a point in the region that satisfies the original equation.<BR>\n" );
document.write( "Let's pick x=3 and plug it into eq. 2,<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%3E-1 ALIGN=MIDDLE  ALT=\"-x%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%3E-1 ALIGN=MIDDLE  ALT=\"-3%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Clearly -3 is not greater than -1. <BR>\n" );
document.write( "So you cannot satisfy both eq. 1 and eq. 2 because you have not changed the sign of the inequality. <BR>\n" );
document.write( "Not changing the sign leads to incorrect results, hence the reason the inequality sign needs to be changed. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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