document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132563>Question 132563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for the inequality.  -2/11<-4/11x<BR>\n" );
document.write( "Optional answers - (11, infinity) (1/2,infinity) (-infinity, 1/2) (1/2, infinity) (-infinity, 2)\r<BR>\n" );
document.write( "\n" );
document.write( "Thank-you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96880 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=96880\">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=-2%2F11%3C-%284%2F11%29x ALIGN=MIDDLE  ALT=\"-2%2F11%3C-%284%2F11%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%2811%29%28-2%2Fcross%2811%29%29%3Ccross%2811%29%28-%284%2Fcross%2811%29%29x%29 ALIGN=MIDDLE  ALT=\"cross%2811%29%28-2%2Fcross%2811%29%29%3Ccross%2811%29%28-%284%2Fcross%2811%29%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 11. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%3C-4x ALIGN=MIDDLE  ALT=\"-2%3C-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F-4%3Ex ALIGN=MIDDLE  ALT=\"-2%2F-4%3Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -4 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2%3Ex ALIGN=MIDDLE  ALT=\"1%2F2%3Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1%2F2 ALIGN=MIDDLE  ALT=\"x%3C1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the inequality\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "\n" );
document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1%2F2 ALIGN=MIDDLE  ALT=\"x%3C1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (which is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C0.5 ALIGN=MIDDLE  ALT=\"x%3C0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > in decimal form)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the answer in interval notation is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left( -\infty ,\frac{1}{2}\right)\"> <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );