document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111754>Question 111754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a < b, then -a > -b Why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81538 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=81538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3Cb ALIGN=MIDDLE  ALT=\"a%3Cb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28a-a%29%3Cb-a ALIGN=MIDDLE  ALT=\"cross%28a-a%29%3Cb-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract \"a\" from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Cb-a ALIGN=MIDDLE  ALT=\"0%3Cb-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-b%3Ccross%28b-b%29-a ALIGN=MIDDLE  ALT=\"0-b%3Ccross%28b-b%29-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract \"b\" from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%3C-a ALIGN=MIDDLE  ALT=\"-b%3C-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "Now rearrange the inequality so the \"a\" term is first\r<BR>\n" );
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document.write( "To put it into English, if a is less than b, then the opposite of a is greater than the opposite of b. Let's say you had a=2 and b=5\r<BR>\n" );
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document.write( "So this is true\r<BR>\n" );
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document.write( "Now negate both sides. \r<BR>\n" );
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document.write( "Notice how -2 is <b>not</b> less than -5. So we must switch the signs to make it true\r<BR>\n" );
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document.write( "Since -2 is greater than -5, this is true. So it supports our claim. You can do this with any two numbers (provided that the second number is greater than the first) and it will work. </SPAN>\n" );
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