document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905763>Question 905763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the following inequality: x^2|x-5|>6x. (X squared times the absolute value of x-5 is greater than 6x). Show your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549403 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549403\">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=x%5E2abs%28x-5%29%3E6x ALIGN=MIDDLE  ALT=\"x%5E2abs%28x-5%29%3E6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Ecross%282%29abs%28x-5%29%3E6cross%28x%29 ALIGN=MIDDLE  ALT=\"x%5Ecross%282%29abs%28x-5%29%3E6cross%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Aabs%28x-5%29%3E6+ ALIGN=MIDDLE  ALT=\"x%2Aabs%28x-5%29%3E6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B-sqrt%28%28x-5%29%5E2%29%3E6 ALIGN=MIDDLE  ALT=\"x%2B-sqrt%28%28x-5%29%5E2%29%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, we have\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-5%29%3E6+ ALIGN=MIDDLE  ALT=\"x%28x-5%29%3E6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28-%28x-5%29%29%3E6 ALIGN=MIDDLE  ALT=\"x%28-%28x-5%29%29%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-5%29%3E6 ALIGN=MIDDLE  ALT=\"x%28x-5%29%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, than we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%3E6 ALIGN=MIDDLE  ALT=\"x%5E2-5x%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x-6%3E0 ALIGN=MIDDLE  ALT=\"x%5E2-5x-6%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-6x-6%3E0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-6x-6%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x ALIGN=MIDDLE  ALT=\"5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B6x ALIGN=MIDDLE  ALT=\"-x%2B6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >}<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bx%29-%286x%2B6%29%3E0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%29-%286x%2B6%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...group<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29-6%28x%2B1%29%3E0 ALIGN=MIDDLE  ALT=\"x%28x%2B1%29-6%28x%2B1%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x-6%29%3E0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x-6%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "solutions:<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29+%3E0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29+%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <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( "if  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%3E0 ALIGN=MIDDLE  ALT=\"%28x-6%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E6 ALIGN=MIDDLE  ALT=\"x%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28-%28x-5%29%29%3E6 ALIGN=MIDDLE  ALT=\"x%28-%28x-5%29%29%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, than we have\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28-x%2B5%29%3E6 ALIGN=MIDDLE  ALT=\"x%28-x%2B5%29%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B5x%3E6 ALIGN=MIDDLE  ALT=\"-x%5E2%2B5x%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B5x-6%3E0 ALIGN=MIDDLE  ALT=\"-x%5E2%2B5x-6%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >....write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x ALIGN=MIDDLE  ALT=\"5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3x ALIGN=MIDDLE  ALT=\"2x%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >}<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B2x%2B3x-6%3E0 ALIGN=MIDDLE  ALT=\"-x%5E2%2B2x%2B3x-6%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...group<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x%5E2-2x%29%2B%283x-6%29%3E0 ALIGN=MIDDLE  ALT=\"-%28x%5E2-2x%29%2B%283x-6%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%28x-2%29%2B3%28x-2%29%3E0 ALIGN=MIDDLE  ALT=\"-x%28x-2%29%2B3%28x-2%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%283-x%29%3E0 ALIGN=MIDDLE  ALT=\"%28x-2%29%283-x%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%3E0 ALIGN=MIDDLE  ALT=\"%28x-2%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E2 ALIGN=MIDDLE  ALT=\"x%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-x%29%3E0 ALIGN=MIDDLE  ALT=\"%283-x%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%3Ex ALIGN=MIDDLE  ALT=\"3%3Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C3 ALIGN=MIDDLE  ALT=\"x%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3Cx%3C3 ALIGN=MIDDLE  ALT=\"2%3Cx%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, your solutions are:\r<BR>\n" );
document.write( "\n" );
document.write( "<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=2%3Cx%3C3 ALIGN=MIDDLE  ALT=\"2%3Cx%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E6 ALIGN=MIDDLE  ALT=\"x%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );