document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703282>Question 703282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I have not taken math in 3 years and started calculus this semester but have forgotten everything! Can you please help me solve this question please..\r<BR>\n" );
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document.write( "Find all real numbers satisfying the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F5%29x-x%3C16+ ALIGN=MIDDLE  ALT=\"+%281%2F5%29x-x%3C16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433415 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=433415\">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=+%281%2F5%29x-x%3C16+ ALIGN=MIDDLE  ALT=\"+%281%2F5%29x-x%3C16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2A%28+1%2F5+-+1+%29+%3C+16+ ALIGN=MIDDLE  ALT=\"+x%2A%28+1%2F5+-+1+%29+%3C+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-4%2F5%29%2Ax+%3C+16+ ALIGN=MIDDLE  ALT=\"+%28-4%2F5%29%2Ax+%3C+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I need to multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5%2F4+ ALIGN=MIDDLE  ALT=\"+-5%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to<BR>\n" );
document.write( "get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > alone on the left side. Whenever you<BR>\n" );
document.write( "multiply both sides by a negative number, the<BR>\n" );
document.write( "sense of the inequality sign has to reverse, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3E+%28-5%2F4%29%2A16+ ALIGN=MIDDLE  ALT=\"+x+%3E+%28-5%2F4%29%2A16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3E+-20+ ALIGN=MIDDLE  ALT=\"+x+%3E+-20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "I can check by saying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-20+ ALIGN=MIDDLE  ALT=\"+x+=+-20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which should fail<BR>\n" );
document.write( "the inequality.<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F5%29x-x%3C16+ ALIGN=MIDDLE  ALT=\"+%281%2F5%29x-x%3C16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F5%29%2A%28-20%29+-+%28-20%29+%3C+16+ ALIGN=MIDDLE  ALT=\"+%281%2F5%29%2A%28-20%29+-+%28-20%29+%3C+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4+%2B+20+%3C+16+ ALIGN=MIDDLE  ALT=\"+-4+%2B+20+%3C+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+%3C+16+ ALIGN=MIDDLE  ALT=\"+16+%3C+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > fails, as it should<BR>\n" );
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document.write( "Now I try <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-19+ ALIGN=MIDDLE  ALT=\"+x+=+-19+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-20+ ALIGN=MIDDLE  ALT=\"+-20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F5%29x-x%3C16+ ALIGN=MIDDLE  ALT=\"+%281%2F5%29x-x%3C16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F5%29%2A%28-19%29-%28-19%29%3C16+ ALIGN=MIDDLE  ALT=\"+%281%2F5%29%2A%28-19%29-%28-19%29%3C16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-19%2F5+%2B+19+%3C+16+ ALIGN=MIDDLE  ALT=\"+-19%2F5+%2B+19+%3C+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3.8+%2B+19+%3C+16+ ALIGN=MIDDLE  ALT=\"+-3.8+%2B+19+%3C+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15.2+%3C+16+ ALIGN=MIDDLE  ALT=\"+15.2+%3C+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > passes<BR>\n" );
document.write( "OK </SPAN>\n" );
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