document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175271>Question 175271</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078651131/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> hi. i need a answer for a couple inequalities. the directions are, solve each inequality. then graph the solution set. the inequalities are, 3<2x-3<15 and 4<2y-2<10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130358 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=130358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming that these are separate problems\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%3C2x-3%3C15 ALIGN=MIDDLE  ALT=\"3%3C2x-3%3C15\"   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=3%2B3%3C2x%3C15%2B3 ALIGN=MIDDLE  ALT=\"3%2B3%3C2x%3C15%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to all sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%3C2x%3C15%2B3 ALIGN=MIDDLE  ALT=\"6%3C2x%3C15%2B3\"   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=6%3C2x%3C18 ALIGN=MIDDLE  ALT=\"6%3C2x%3C18\"   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=%286%29%2F2%3Cx%3C%2818%29%2F2 ALIGN=MIDDLE  ALT=\"%286%29%2F2%3Cx%3C%2818%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide all sides by 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%3Cx%3C9 ALIGN=MIDDLE  ALT=\"3%3Cx%3C9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\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=3%3Cx%3C9 ALIGN=MIDDLE  ALT=\"3%3Cx%3C9\"   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{3,9}\"><font size=\"8\">)</font>\r<BR>\n" );
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document.write( "Also, answer in set-builder notation is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|3 < x < 9\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-2%2C+14%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-2%2C+14+%29%2C%0D%0A%0D%0Ablue%28line%283%2C0%2C9%2C0%29%29%2C%0D%0Ablue%28line%283%2C0.30%2C9%2C0.30%29%29%2C%0D%0Ablue%28line%283%2C0.15%2C9%2C0.15%29%29%2C%0D%0Ablue%28line%283%2C-0.15%2C9%2C-0.15%29%29%2C%0D%0Ablue%28line%283%2C-0.30%2C9%2C-0.30%29%29%2C%0D%0Acircle%283%2C0%2C0.25%29%2Ccircle%283%2C0%2C0.20%29%2C%0D%0Acircle%289%2C0%2C0.25%29%2C%0D%0Acircle%289%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=3 ALIGN=MIDDLE  ALT=\"x=3\"   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=9 ALIGN=MIDDLE  ALT=\"x=9\"   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( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%3C2y-2%3C10 ALIGN=MIDDLE  ALT=\"4%3C2y-2%3C10\"   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=4%2B2%3C2y%3C10%2B2 ALIGN=MIDDLE  ALT=\"4%2B2%3C2y%3C10%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to all sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%3C2y%3C10%2B2 ALIGN=MIDDLE  ALT=\"6%3C2y%3C10%2B2\"   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=6%3C2y%3C12 ALIGN=MIDDLE  ALT=\"6%3C2y%3C12\"   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=%286%29%2F2%3Cy%3C%2812%29%2F2 ALIGN=MIDDLE  ALT=\"%286%29%2F2%3Cy%3C%2812%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide all sides by 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%3Cy%3C6 ALIGN=MIDDLE  ALT=\"3%3Cy%3C6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\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=3%3Cy%3C6 ALIGN=MIDDLE  ALT=\"3%3Cy%3C6\"   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{3,6}\"><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\{y\|3 < y < 6\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-2%2C+11%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-2%2C+11+%29%2C%0D%0A%0D%0Ablue%28line%283%2C0%2C6%2C0%29%29%2C%0D%0Ablue%28line%283%2C0.30%2C6%2C0.30%29%29%2C%0D%0Ablue%28line%283%2C0.15%2C6%2C0.15%29%29%2C%0D%0Ablue%28line%283%2C-0.15%2C6%2C-0.15%29%29%2C%0D%0Ablue%28line%283%2C-0.30%2C6%2C-0.30%29%29%2C%0D%0Acircle%283%2C0%2C0.25%29%2Ccircle%283%2C0%2C0.20%29%2C%0D%0Acircle%286%2C0%2C0.25%29%2C%0D%0Acircle%286%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=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   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=y=6 ALIGN=MIDDLE  ALT=\"y=6\"   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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