document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164315>Question 164315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve this inequality and check your solution. then graph the solution on a number line. 2n+5>11-n </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121059 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=121059\">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=2n%2B5%3E11-n ALIGN=MIDDLE  ALT=\"2n%2B5%3E11-n\"   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=2n%3E11-n-5 ALIGN=MIDDLE  ALT=\"2n%3E11-n-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2Bn%3E11-5 ALIGN=MIDDLE  ALT=\"2n%2Bn%3E11-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   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=3n%3E11-5 ALIGN=MIDDLE  ALT=\"3n%3E11-5\"   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=3n%3E6 ALIGN=MIDDLE  ALT=\"3n%3E6\"   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=n%3E%286%29%2F%283%29 ALIGN=MIDDLE  ALT=\"n%3E%286%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <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 isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   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=n%3E2 ALIGN=MIDDLE  ALT=\"n%3E2\"   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=n%3E2 ALIGN=MIDDLE  ALT=\"n%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the answer in interval notation is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(2,\infty\right)\">\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\{n\|n>2\right\}\">\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "To check the answer, simply plug in a value that is greater than 2 (say 3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2B5%3E11-n ALIGN=MIDDLE  ALT=\"2n%2B5%3E11-n\"   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=2%283%29%2B5%3E11-3 ALIGN=MIDDLE  ALT=\"2%283%29%2B5%3E11-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in n=3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B5%3E11-3 ALIGN=MIDDLE  ALT=\"6%2B5%3E11-3\"   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=11%3E8 ALIGN=MIDDLE  ALT=\"11%3E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms. Since the inequality is true, this verifies our answer.\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-8%2C+12%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-8%2C+12%29%2C%0D%0A%0D%0Aarrow%282%2C0%2C12%2C0%29%2C%0D%0Aarrow%282%2C0.30%2C12%2C0.30%29%2C%0D%0Aarrow%282%2C0.15%2C12%2C0.15%29%2C%0D%0Aarrow%282%2C-0.15%2C12%2C-0.15%29%2C%0D%0Aarrow%282%2C-0.30%2C12%2C-0.30%29%2C%0D%0A%0D%0Acircle%282%2C0%2C0.3%29%2C%0D%0Acircle%282%2C0%2C0.3%29%2C%0D%0Acircle%282%2C0%2C0.3%29%2C%0D%0Acircle%282%2C0%2C0.3-0.02%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take note of the open circle at n=2. This tells us to exclude the endpoint. </SPAN>\n" );
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