document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124677>Question 124677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the solution set \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91382 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=91382\">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=-3%2F2%3C%283%282x-4%29%29%2F5%3C=2 ALIGN=MIDDLE  ALT=\"-3%2F2%3C%283%282x-4%29%29%2F5%3C=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given compound inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%28-3%2F2%29%3C10%28%283%282x-4%29%29%2F5%29%3C=10%282%29 ALIGN=MIDDLE  ALT=\"10%28-3%2F2%29%3C10%28%283%282x-4%29%29%2F5%29%3C=10%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply all sides by the LCD 10. This will eliminate the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15%3C6%282x-4%29%3C=20 ALIGN=MIDDLE  ALT=\"-15%3C6%282x-4%29%3C=20\"   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=-15%3C12x-24%3C=20 ALIGN=MIDDLE  ALT=\"-15%3C12x-24%3C=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute again\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%3C12x%3C=44 ALIGN=MIDDLE  ALT=\"9%3C12x%3C=44\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 24 to all sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F12%3Cx%3C=44%2F12 ALIGN=MIDDLE  ALT=\"9%2F12%3Cx%3C=44%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide every side by 12 to isolate x. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4%3Cx%3C=11%2F3 ALIGN=MIDDLE  ALT=\"3%2F4%3Cx%3C=11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce. \r<BR>\n" );
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document.write( "So the solution in interval notation is: (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F3 ALIGN=MIDDLE  ALT=\"11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >]\r<BR>\n" );
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document.write( "Now let's graph 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%2C50%2C-10%2C10%2C-10%2C10%2C%0D%0Anumber_line%28+500%2C+-7.79166666666667%2C+12.2083333333333%29%2C%0D%0Ablue%28line%28-1.20833333333333%2C-7%2C1.30833333333333%2C-7%29%29%2C%0D%0Ablue%28line%28-1.20833333333333%2C-6%2C1.30833333333333%2C-6%29%29%2C%0D%0Ablue%28line%28-1.20833333333333%2C-5%2C1.30833333333333%2C-5%29%29%2C%0D%0A%0D%0Acircle%28-1.45833333333333%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-1.45833333333333%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-1.45833333333333%2C-5.8%2C0.45%29%2C%0D%0A%0D%0Acircle%281.45833333333333%2C-5.8%2C0.10%29%2C%0D%0Acircle%281.45833333333333%2C-5.8%2C0.15%29%2C%0D%0Acircle%281.45833333333333%2C-5.8%2C0.20%29%2C%0D%0Acircle%281.45833333333333%2C-5.8%2C0.25%29%2C%0D%0Acircle%281.45833333333333%2C-5.8%2C0.30%29%2C%0D%0Acircle%281.45833333333333%2C-5.8%2C0.35%29%2C%0D%0Acircle%281.45833333333333%2C-5.8%2C0.40%29%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2F4 ALIGN=MIDDLE  ALT=\"x=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > there is a <font size=\"4\"><b>open</b></font>  circle (which means this point is excluded) and at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11%2F3 ALIGN=MIDDLE  ALT=\"x=11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > there is a <font size=\"4\"><b>closed</b></font> circle (which means this point is included)\r<BR>\n" );
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