document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177247>Question 177247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2<3-1/2x<6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132322 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=132322\">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%3C3-%281%2F2%29x%3C6 ALIGN=MIDDLE  ALT=\"2%3C3-%281%2F2%29x%3C6\"   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=2-3%3C-%281%2F2%29x%3C6-3 ALIGN=MIDDLE  ALT=\"2-3%3C-%281%2F2%29x%3C6-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3 from ALL sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%3C-%281%2F2%29x%3C3 ALIGN=MIDDLE  ALT=\"-1%3C-%281%2F2%29x%3C3\"   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=-1%28-2%29%3Ex%3E3%28-2%29 ALIGN=MIDDLE  ALT=\"-1%28-2%29%3Ex%3E3%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply ALL sides by -2. Note: multiplying all sides of an inequality by a negative number will flip the signs.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3Ex%3E-6 ALIGN=MIDDLE  ALT=\"2%3Ex%3E-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%3Cx%3C2 ALIGN=MIDDLE  ALT=\"-6%3Cx%3C2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the inequality\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%3Cx%3C2 ALIGN=MIDDLE  ALT=\"-6%3Cx%3C2\"   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{-6,2}\"><font size=\"8\">)</font>\r<BR>\n" );
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document.write( "Also, the answer in set-builder notation is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|-6 < x < 2\right\}\">\r<BR>\n" );
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document.write( "Here's the graph of the solution set on the number line:\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-11%2C+7%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-11%2C+7+%29%2C%0D%0A%0D%0Ablue%28line%28-6%2C0%2C2%2C0%29%29%2C%0D%0Ablue%28line%28-6%2C0.30%2C2%2C0.30%29%29%2C%0D%0Ablue%28line%28-6%2C0.15%2C2%2C0.15%29%29%2C%0D%0Ablue%28line%28-6%2C-0.15%2C2%2C-0.15%29%29%2C%0D%0Ablue%28line%28-6%2C-0.30%2C2%2C-0.30%29%29%2C%0D%0Acircle%28-6%2C0%2C0.25%29%2Ccircle%28-6%2C0%2C0.20%29%2C%0D%0Acircle%282%2C0%2C0.25%29%2C%0D%0Acircle%282%2C0%2C0.20%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=-6 ALIGN=MIDDLE  ALT=\"x=-6\"   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 an <b>open</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 excluding this value from the solution set. </SPAN>\n" );
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