document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66526>Question 66526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve<BR>\n" );
document.write( "x^2-6x>-8<BR>\n" );
document.write( "and<BR>\n" );
document.write( "1/(t-5)<3/(t+5)\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47183 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=47183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 - 6x > -8<BR>\n" );
document.write( "x^2 - 6x + 8 > 0<BR>\n" );
document.write( "x^2 - 4x - 2x + 8 > 0<BR>\n" );
document.write( "(x^2 - 4x) + (-2x + 8) > 0<BR>\n" );
document.write( "x(x - 4) - 2(x - 4) > 0<BR>\n" );
document.write( "(x - 2)(x - 4) > 0<BR>\n" );
document.write( "<========(2)---------(4)=========><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+2 ALIGN=MIDDLE  ALT=\"x+%3C+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+4 ALIGN=MIDDLE  ALT=\"x+%3E+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<BR>\n" );
document.write( "1/(t - 5) < 3/(t + 5)<BR>\n" );
document.write( "(t^2 - 25)/(t - 5) < 3(t^2 - 25)/(t + 5)<BR>\n" );
document.write( "t + 5 < 3(t - 5)<BR>\n" );
document.write( "t + 5 < 3t - 15<BR>\n" );
document.write( "20 < 2t<BR>\n" );
document.write( "10 < t<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C18%2C-1%2C1%2C1%2F%28x+-+5%29%2C3%2F%28x+%2B+5%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C18%2C-1%2C1%2C1%2F%28x+-+5%29%2C3%2F%28x+%2B+5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );