document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180820>Question 180820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4 - 2x > 11\r<BR>\n" );
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document.write( "when i subtracted 4 from both sides i got: -2x > 11. then i divided that by -2x on both sides and got x < -3.5 \r<BR>\n" );
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document.write( "the second part i subtracted 4 from both sides and got: -2x > -15. then I divided by -2 and got x < 7.5.\r<BR>\n" );
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document.write( "How would the graph look like?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135560 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=135560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-2x%3E11 ALIGN=MIDDLE  ALT=\"4-2x%3E11\"   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=-2x%3E11-4 ALIGN=MIDDLE  ALT=\"-2x%3E11-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   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=-2x%3E7 ALIGN=MIDDLE  ALT=\"-2x%3E7\"   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=x%3C%287%29%2F%28-2%29 ALIGN=MIDDLE  ALT=\"x%3C%287%29%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <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 isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. note: Remember, the inequality sign flips when we divide both sides by a negative number. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C-7%2F2 ALIGN=MIDDLE  ALT=\"x%3C-7%2F2\"   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=x%3C-7%2F2 ALIGN=MIDDLE  ALT=\"x%3C-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Which approximates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C-3.5 ALIGN=MIDDLE  ALT=\"x%3C-3.5\"   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(-\infty,-\frac{7}{2}\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\{x\|x<-\frac{7}{2}\right\}\">\r<BR>\n" );
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document.write( "Here's the graph of the solution set on a 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-17%2C+3%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-17%2C+3%29%2C%0D%0A%0D%0A%0D%0Aarrow%28-7%2F2%2C0%2C-17%2C0%29%2C%0D%0Aarrow%28-7%2F2%2C0.30%2C-17%2C0.30%29%2C%0D%0Aarrow%28-7%2F2%2C0.15%2C-17%2C0.15%29%2C%0D%0Aarrow%28-7%2F2%2C-0.15%2C-17%2C-0.15%29%2C%0D%0Aarrow%28-7%2F2%2C-0.30%2C-17%2C-0.30%29%2C%0D%0A%0D%0A%0D%0A%0D%0A%0D%0Acircle%28-7%2F2%2C0%2C0.3%29%2C%0D%0Acircle%28-7%2F2%2C0%2C0.3%29%2C%0D%0Acircle%28-7%2F2%2C0%2C0.3%29%2C%0D%0Acircle%28-7%2F2%2C0%2C0.3-0.02%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the solution set where the open circle denotes the excluded value. </SPAN>\n" );
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