document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92253>Question 92253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the inequality x<3<BR>\n" );
document.write( "Is this how I am to answer this problem?<BR>\n" );
document.write( "<--+---+---+---+---+---+---+---+---+---*===+===+===+==><BR>\n" );
document.write( "    -6  -5  -4  -3  -2  -1   0   1   2   3   4   5   6<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 #67110 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=67110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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=x%3C3 ALIGN=MIDDLE  ALT=\"x%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Set up a number line:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=number_line%28+500%2C+-10%2C+10%29 ALIGN=MIDDLE  ALT=\"number_line%28+500%2C+-10%2C+10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now plot the point x=3 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=number_line%28+500%2C+-10%2C+10%2C+3%29 ALIGN=MIDDLE  ALT=\"number_line%28+500%2C+-10%2C+10%2C+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now pick any test point you want, I'm going to choose x=0, and test the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C3 ALIGN=MIDDLE  ALT=\"x%3C3\"   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=0%3C3 ALIGN=MIDDLE  ALT=\"0%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since this inequality is true, we simply shade the entire portion in which contains the point x=0 using the point x=3 as the boundary.This means we shade everything to the left of the point x=3 like this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C50%2C-10%2C10%2C-10%2C10%2C%0D%0Anumber_line%28+500%2C+-10%2C+10%29%2C%0D%0Acircle%283%2C-5.8%2C0.35%29%2C%0D%0Acircle%283%2C-5.8%2C0.4%29%2C%0D%0Acircle%283%2C-5.8%2C0.45%29%2C%0D%0Ablue%28line%283%2C-5%2C3%2B-12.8%2C-5%29%29%2C%0D%0Ablue%28line%283%2C-6%2C3%2B-12.8%2C-6%29%29%2C%0D%0Ablue%28line%283%2C-7%2C3%2B-12.8%2C-7%29%29%2C%0D%0Ablue%28arrow%283%2C-5%2C3%2B-13%2C-5%29%29%2C%0D%0Ablue%28arrow%283%2C-5.5%2C3%2B-13%2C-5.5%29%29%2C%0D%0Ablue%28arrow%283%2C-6%2C3%2B-13%2C-6%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C3 ALIGN=MIDDLE  ALT=\"x%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the shaded region in blue\r<BR>\n" );
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document.write( "note: at the point x=3, there is an <b>open</b> circle. This means the point x=3 is excluded from the solution set.\r<BR>\n" );
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