document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163053>Question 163053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help me with this:\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the inequality and graph the solution.\r<BR>\n" );
document.write( "\n" );
document.write( "5/(x-7)<6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120158 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5/(x-7)<6<BR>\n" );
document.write( "5/(x-7)-6<0 You must convert to \"<0\" form before you begin solving.<BR>\n" );
document.write( "5/(x-7) - 6(x-7)/(x-7) <0 Use a common denominator.<BR>\n" );
document.write( "(5-6x+42)/(x-7)<0<BR>\n" );
document.write( "(-6x+47)/(x-7)<0 <BR>\n" );
document.write( "If -6x+47=0 then -6x=-47 and x=47/6=7.83333...<BR>\n" );
document.write( "7.83333 is an inflection point.<BR>\n" );
document.write( "x cannot be 7 because the denominator would be 0. <BR>\n" );
document.write( "7 is the other inflection point.<BR>\n" );
document.write( "When x<7 then 5/(x-7)-6<0<BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%3Cx%3C7.83333 ALIGN=MIDDLE  ALT=\"7%3Cx%3C7.83333\"   DISABLED_style= \"max-width:90%; height:auto;\" > then 5/(x-7)-6>0<BR>\n" );
document.write( "When x>7.83333 then 5/(x-7)-6<0<BR>\n" );
document.write( "X(-infinity, 7]U[7.83333..., infinity) Answer.<BR>\n" );
document.write( "A good explanation of this can be found on purplemath.com<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%285%2F%28x-7%29%29-6%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%285%2F%28x-7%29%29-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );