document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150967>Question 150967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve -168  <  11x - 14  < = 8\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 #110902 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=110902\">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=-168+%3C+11x+-+14+%3C+=+8 ALIGN=MIDDLE  ALT=\"-168+%3C+11x+-+14+%3C+=+8\"   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=-168%2B+14+%3C+11x+%2Bcross%28-14%2B14%29++%3C+=+8%2B+14 ALIGN=MIDDLE  ALT=\"-168%2B+14+%3C+11x+%2Bcross%28-14%2B14%29++%3C+=+8%2B+14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 14 to all sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-154%3C11x%3C=22 ALIGN=MIDDLE  ALT=\"-154%3C11x%3C=22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-154%2F11%3Ccross%2811%2F11%29x%3C=22%2F11 ALIGN=MIDDLE  ALT=\"-154%2F11%3Ccross%2811%2F11%29x%3C=22%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide all sides by 11.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-14%3Cx%3C=2 ALIGN=MIDDLE  ALT=\"-14%3Cx%3C=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution set is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-14%3Cx%3C=2 ALIGN=MIDDLE  ALT=\"-14%3Cx%3C=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the answer in interval notation is   <font size=\"8\">(</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \bf{-14,2}\"><font size=\"8\">]</font>\r<BR>\n" );
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document.write( "So the answer in set-builder notation is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|-14 < x \le 2\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-19%2C+7%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-19%2C+7+%2C2%29%2C%0D%0A%0D%0Ablue%28line%28-14%2C0%2C2%2C0%29%29%2C%0D%0Ablue%28line%28-14%2C0.30%2C2%2C0.30%29%29%2C%0D%0Ablue%28line%28-14%2C0.15%2C2%2C0.15%29%29%2C%0D%0Ablue%28line%28-14%2C-0.15%2C2%2C-0.15%29%29%2C%0D%0Ablue%28line%28-14%2C-0.30%2C2%2C-0.30%29%29%2C%0D%0Acircle%28-14%2C0%2C0.3%29%2Ccircle%28-14%2C0%2C0.35%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the solution set\r<BR>\n" );
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document.write( "Note:\r<BR>\n" );
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document.write( "There is an <b>open</b> circle at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-14 ALIGN=MIDDLE  ALT=\"x=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that we're excluding this value from the solution set\r<BR>\n" );
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document.write( "Also, there is a <b>closed</b> circle at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that we're including this value in the solution set.<BR>\n" );
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