document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151534>Question 151534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/4{5x-1/2}-1/3<2/3 use builder notation and solve   {xlx            } the l is post to be a straight line </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111394 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=111394\">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%2F4%29%285x-1%2F2%29-1%2F3%3C2%2F3 ALIGN=MIDDLE  ALT=\"%281%2F4%29%285x-1%2F2%29-1%2F3%3C2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F4%29x-1%2F8-1%2F3%3C2%2F3 ALIGN=MIDDLE  ALT=\"%285%2F4%29x-1%2F8-1%2F3%3C2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%28%285%2Fcross%284%29%29x-1%2Fcross%288%29-1%2Fcross%283%29%29%3C24%282%2Fcross%283%29%29 ALIGN=MIDDLE  ALT=\"24%28%285%2Fcross%284%29%29x-1%2Fcross%288%29-1%2Fcross%283%29%29%3C24%282%2Fcross%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear any fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x-3-8%3C16 ALIGN=MIDDLE  ALT=\"30x-3-8%3C16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x-11%3C16 ALIGN=MIDDLE  ALT=\"30x-11%3C16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x%3C16%2B11 ALIGN=MIDDLE  ALT=\"30x%3C16%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x%3C27 ALIGN=MIDDLE  ALT=\"30x%3C27\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%2827%29%2F%2830%29 ALIGN=MIDDLE  ALT=\"x%3C%2827%29%2F%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C9%2F10 ALIGN=MIDDLE  ALT=\"x%3C9%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C9%2F10 ALIGN=MIDDLE  ALT=\"x%3C9%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Which approximates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C0.9 ALIGN=MIDDLE  ALT=\"x%3C0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So the solution set is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|x<\frac{9}{10}\right\}\">\r<BR>\n" );
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document.write( "Also, the answer in interval notation is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(-\infty,\frac{9}{10}\right)\">\r<BR>\n" );
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document.write( "Here's the graph of the solution set\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C80%2C-5%2C+10%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-5%2C+10%29%2C%0D%0A%0D%0A%0D%0Aarrow%289%2F10%2C0%2C-5%2C0%29%2C%0D%0Aarrow%289%2F10%2C0.30%2C-5%2C0.30%29%2C%0D%0Aarrow%289%2F10%2C0.15%2C-5%2C0.15%29%2C%0D%0Aarrow%289%2F10%2C-0.15%2C-5%2C-0.15%29%2C%0D%0Aarrow%289%2F10%2C-0.30%2C-5%2C-0.30%29%2C%0D%0A%0D%0A%0D%0A%0D%0A%0D%0Acircle%289%2F10%2C0%2C0.2%29%2C%0D%0Acircle%289%2F10%2C0%2C0.2%29%2C%0D%0Acircle%289%2F10%2C0%2C0.2%29%2C%0D%0Acircle%289%2F10%2C0%2C0.2-0.02%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Note: there is an open circle at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0.9 ALIGN=MIDDLE  ALT=\"x=0.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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